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"5?;>2K5 A5B8 -.: >AAB@>9, -2001. -48 A. "5?;>A=0165=85/>78= . . 8 4@. -.: KAH0O H:>;0, -1980. -408 A. !>:>;>2 . /. "5?;>D8:0F8O 8 B5?;>2K5 A5B8. -.: 740B5;LAB2> -, -1999. -472 A. "5?;>B5E=8G5A:89 A?@02>G=8:/>4 @54. .@5=520 . . 8 5154520 . . 2 2-E B. -.: -=5@38O. -1975. ". 1. -744 A. !?@02>G=8: ?@>5:B8@>2I8:0. @>5:B8@>20=85 B5?;>2KE A5B59/>4 @54. 8:>;0520 . . -.: !B@>98740B. -1965. -360 A. !?@02>G=8: ?> B5?;>A=0165=8N 8 25=B8;OF88 /)Q:8= . . 8 4@.  2-E :=. 852: C4825;L=8:, -1976, =. 1. -416 A. !0D>=>2 . . !1>@=8: 7040G ?> B5?;>D8:0F88 8 B5?;>2K< A5BO<. -.: -=5@38O, -1968. -240 A. @><>2 . . 1>=5=BA:85 CAB@>9AB20 2>4O=KE B5?;>2KE A5B59. -.: -=5@38O, -1979. -248 A (8@0:A . -. "5?;>A=0165=85. -.: -=5@38O, -1979. -256 A. =65=5@=K5 :><<C=8:0F88 2 =5DB5307>4>1K20NI8E @09>=0E 0?04=>9 !818@8/.. 0@=0CE>2, .. >8A552, .. !B5?0=>2 8 4@. !B@>98740B, @0A=>O@A:. -1993. -160A. !B5?0=>2 .., >8A552 .., %>?5@A:89 .. 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HYPERLINK \l "_Toc167294252" 6. 84@02;8G5A:85 @568<K 2>4O=KE B5?;>2KE A5B59  HYPERLINK \l "_Toc167294253" 7. >41>@ A5B52KE 8 ?>4?8B>G=KE =0A>A>2  HYPERLINK \l "_Toc167294254" 8. 0AG5B B>;I8=K B5?;>2>9 87>;OF88  HYPERLINK \l "_Toc167294255" 9. 0AG5B 8 ?>41>@ :><?5=A0B>@>2  HYPERLINK \l "_Toc167294256" 10. 0AG5B CA8;89 =0 >?>@K  HYPERLINK \l "_Toc167294257" 11. >41>@ >A=>2=>3> 8 2A?><>30B5;L=>3> >1>@C4>20=8O  HYPERLINK \l "_Toc167294258" @8<5@ 2K?>;=5=8O :C@A>2>9 @01>BK  HYPERLINK \l "_Toc167294259" @8;>65=8O.  1. ?@545;5=85 B5?;>2KE ?>B>:>2 =0 >B>?;5=85, 25=B8;OF8N 8 3>@OG55 2>4>A=0165=85. 0:A8<0;L=K5 B5?;>2K5 ?>B>:8 =0 >B>?;5=85 Qomax, 25=B8;OF8N Qvmax 8 3>@OG55 2>4>A=0165=85 Qhmax 68;KE, >1I5AB25==KE 8 ?@>872>4AB25==KE 740=89 A;54C5B ?@8=8<0BL ?@8 ?@>5:B8@>20=88 B5?;>2KE A5B59 ?> A>>B25BAB2CNI8< ?@>5:B0<. "5?;>2K5 ?>B>:8 ?@8 >BACBAB288 ?@>5:B>2 >B>?;5=8O, 25=B8;OF88 8 3>@OG53> 2>4>A=0165=8O >?@545;ONBAO: 0:A8<0;L=K9 B5?;>2>9 ?>B>: =0 >B>?;5=85 4;O 68;KE 8 >1I5AB25==KE 740=89:  EMBED Equation.DSMT4  EMBED Equation.3  (1) 4;O ;N1KE 740=89 ?@8 8725AB=KE =0@C6=KE >1J5<0E:  EMBED Equation.3  (2) 0:A8<0;L=K9 B5?;>2>9 ?>B>: =0 25=B8;OF8N 4;O 68;KE 8 >1I5AB25==KE 740=89:  EMBED Equation.DSMT4  EMBED Equation.3  (3) 4;O ;N1KE 740=89 ?@8 8725AB=KE =0@C6=KE >1J5<0E:  EMBED Equation.3  (4) !@54=89 B5?;>2>9 ?>B>: =0 3>@OG55 2>4>A=0165=85 4;O 68;KE 8 >1I5AB25==KE 740=89:  EMBED Equation.3  (5) 4;O ;N1KE 740=89 ?@8 8725AB=KE B5?;>2KE ?>B>:0E =0 3>@OG55 2>4>A=0165=85 =0 1 G5;>25:0:  EMBED Equation.DSMT4  EMBED Equation.3  (6) 0:A8<0;L=K9 B5?;>2>9 ?>B>: =0 3>@OG55 2>4>A=0165=85  EMBED Equation.DSMT4  EMBED Equation.3  (7) 345  EMBED Equation.3 ,  EMBED Equation.3  - C45;L=K9 ?>:070B5;L B5?;>2>3> ?>B>:0 =0 >B>?;5=85 (>?@545;O5BAO ?> ?@8;>65=8N !4, !6 8 !8 2 7028A8<>AB8 >B B8?0 >B0?;8205<>3> 740=8O);  EMBED Equation.3  - C45;L=K9 ?>:070B5;L B5?;>2>3> ?>B>:0 =0 3>@OG55 2>4>A=0165=85 (>?@545;O5BAO ?> ?@8;>65=8N !5);  EMBED Equation.3  - ?>?@02>G=K9 :>MDD8F85=B : 25;8G8=5  EMBED Equation.3  (>?@545;O5BAO ?> ?@8;>65=8N !9) 0- =>@<0 @0AE>40 2>4K =0 3>@OG55 2>4>A=0165=85 ?@8 B5<?5@0BC@5  EMBED Equation.3  , =0 >4=>3> G5;>25:0 2 ACB:8, ; (?@8  EMBED Equation.3   EMBED Equation.3 ); 2- =>@<0 @0AE>40 2>4K =0 3>@OG55 2>4>A=0165=85, ?>B@51;O5<>9 2 >1I5AB25==KE 740=8OE (?@8 B5<?5@0BC@5  EMBED Equation.3   EMBED Equation.3  =0 1 G5;>25:0);  EMBED Equation.3  - B5<?5@0BC@0 3>@OG59 2>4K 2 A8AB5<5 3>@OG53> 2>4>A=0165=8O; tc- B5<?5@0BC@0 E>;>4=>9 (2>4>?@>2>4=>9) 2>4K 2 >B>?8B5;L=K9 ?5@8>4 (?@8 >BACBAB288 40==KE ?@8=8<05BAO @02=>9 5 >!);  EMBED Equation.DSMT4  - :>MDD8F85=B, CG8BK20NI89 B5?;>2>9 ?>B>: =0 >B>?;5=85 >1I5AB25==KE 740=89; ?@8 >BACBAB288 40==KE  EMBED Equation.DSMT4  A;54C5B ?@8=8<0BL @02=K< 0.25;  EMBED Equation.DSMT4  - :>MDD8F85=B, CG8BK20NI89 B5?;>2>9 ?>B>: =0 25=B8;OF8N >1I5AB25==KE 740=89; ?@8 >BACBAB288 40==KE  EMBED Equation.DSMT4  A;54C5B ?@8=8<0BL @02=K<: 4;O >1I5AB25==KE 740=89, ?>AB@>5==KE 4> 1985 3.- 0.4, ?>A;5 1985 3. - 0.6;  EMBED Equation.3 ->1I0O ?;>I04L >B0?;8205<KE ?><5I5=89 2 68;>< :20@B0;5,  EMBED Equation.3 , @0AAG8BK205<0O ?> D>@<C;5:  EMBED Equation.DSMT4 , (8) 745AL  EMBED Equation.3 - :>;8G5AB2> 68B5;59 2 :20@B0;5, @0AAG8BK205<>5, :0:  EMBED Equation.3 , 745AL  EMBED Equation.3 - ?;>I04L @0AAG8BK205<>3> :20@B0;0,  EMBED Equation.3 ,  EMBED Equation.3 - ?;>B=>ABL =0A5;5=8O 2 @0AAG8BK205<>< :20@B0;5,  EMBED Equation.3 ;  EMBED Equation.3 - >1I0O ?;>I04L 68;>3> 740=8O, >B2>48<0O =0 >4=>3> G5;>25:0,  EMBED Equation.3 . !C<<0@=K9 B5?;>2>9 ?>B>: ?> :20@B0;0< Q(, >?@545;O5< AC<<8@>20=85< @0AGQB=KE B5?;>2KE ?>B>:>2 =0 >B>?;5=85, 25=B8;OF8N 8 3>@OG55 2>4>A=0165=85:  EMBED Equation.DSMT4  (9) !@54=5G0A>2>9 B5?;>2>9 ?>B>: 70 >B>?8B5;L=K9 ?5@8>4 =0 >B>?;5=85:  EMBED Equation.3  (10) =0 25=B8;OF8N:  EMBED Equation.3  (11) =0 3>@OG55 2>4>A=0165=85 68;>3> @09>=0 2 =5>B>?8B5;L=K9 ?5@8>4:  EMBED Equation.3  (12) 345  EMBED Equation.3  - A@54=OO B5<?5@0BC@0 2=CB@5==53> 2>74CE0 >B0?;8205<KE 740=89 (>?@545;O5BAO ?> ?@8;>65=8N !6);  EMBED Equation.3  - A@54=OO B5<?5@0BC@0 =0@C6=>3> 2>74CE0 70 ?5@8>4 A> A@54=5ACB>G=>9 B5<?5@0BC@>9 2>74CE0 8 >! 8 <5=55 (>B>?8B5;L=K9 ?5@8>4),  EMBED Equation.3 ;  EMBED Equation.3 - @0AG5B=0O B5<?5@0BC@0 =0@C6=>3> 2>74CE0 4;O >B>?;5=8O,  EMBED Equation.3 ;  EMBED Equation.3  - @0AG5B=0O B5<?5@0BC@0 =0@C6=>3> 2>74CE0 4;O 25=B8;OF88,  EMBED Equation.3 ; tc- B5<?5@0BC@0 E>;>4=>9 (2>4>?@>2>4=>9) 2>4K 2 >B>?8B5;L=K9 ?5@8>4 (?@8 >BACBAB288 40==KE ?@8=8<05BAO @02=>9 5 >!); tsc - B5<?5@0BC@0 E>;>4=>9 (2>4>?@>2>4=>9) 2>4K 2 =5>B>?8B5;L=K9 ?5@8>4 (?@8 >BACBAB288 40==KE ?@8=8<05BAO @02=>9 15 >!);  EMBED Equation.3 - :>MDD8F85=B, CG8BK20NI89 87<5=5=85 A@54=53> @0AE>40 2>4K =0 3>@OG55 2>4>A=0165=85 2 =5>B>?8B5;L=K9 ?5@8>4 (A<. ?@8;>65=85 !7). 5;8G8=K  EMBED Equation.3  ,  EMBED Equation.3  O2;ONBAO :;8<0B8G5A:8<8 40==K<8 4;O 3>@>40, 2 :>B>@>< @0A?>;0305BAO @0AAG8BK205<0O :>B5;L=0O (>?@545;ONBAO ?> ?@8;>65=8N !1). ;O ?>AB@>5=8O G0A>2KE 3@0D8:>2 @0AE>4>2 B5?;>BK =0 >B>?;5=85 8 25=B8;OF8N 4>AB0B>G=> 8A?>;L7>20BL 420 7=0G5=8O B5?;>2KE ?>B>:>2: <0:A8<0;L=K5 Qomax 8 Qvmax , >?@545;5==K5 ?@8 B5<?5@0BC@5 =0@C6=>3> 2>74CE0 t== +8 >!. !@54=5G0A>2>9 @0AE>4 =0 3>@OG55 2>4>A=0165=85 @0AAG8BK205BAO 4;O 42CE A;CG052  4;O >B>?8B5;L=>3> 8 =5>B>?8B5;L=>3> ?5@8>4>2. @0D8: A@54=5G0A>2>3> @0AE>40 B5?;>BK =0 3>@OG55 2>4>A=0165=85 =5 7028A8B >B B5<?5@0BC@K =0@C6=>3> 2>74CE0, 8 1C45B ?@54AB02;OBL A>1>9 ?@O<CN, ?0@0;;5;L=CN >A8 01AF8AA A >@48=0B>9  EMBED Equation.3  4;O >B>?8B5;L=>3> ?5@8>40 8 A >@48=0B>9  EMBED Equation.3  4;O =5>B>?8B5;L=>3> ?5@8>40. !C<<8@CO >@48=0BK G0A>2KE 3@0D8:>2 ?> >B45;L=K< 2840< B5?;>?>B@51;5=8O, AB@>OB AC<<0@=K9 G0A>2>9 3@0D8: @0AE>4>2 B5?;>BK Q(, :>B>@K9 8A?>;L7CNB B0:65 4;O ?>AB@>5=8O 3>4>2>3> 3@0D8:0 ?> ?@>4>;68B5;L=>AB8 B5?;>2>9 =03@C7:8. ;O ?>AB@>5=8O MB>3> 3@0D8:0 =5>1E>48<> 8<5BL 40==K5 ?> ?@>4>;68B5;L=>AB8 AB>O=8O B5<?5@0BC@ =0@C6=>3> 2>74CE0, ?@8=8<05<K5 4;O :>=:@5B=>3> 3>@>40 ?> ?@8;>65=8N !2 8 ?@>AC<<8@>20==K5 A =0@0AB0NI8< 8B>3><. ;O ?>AB@>5=8O 3>4>2>3> 3@0D8:0 ?> <5AOF0<, (A<. ?@8<5@ @5H5=8O), 8A?>;L7CO A@54=5<5AOG=K5 B5<?5@0BC@K =0@C6=>3> 2>74CE0 87 ?@8;>65=8O !3, >?@545;ONB ?> D>@<C;0< (10) 8 (11) B5?;>2K5 ?>B>:8 =0 >B>?;5=85 8 25=B8;OF8N 4;O :064>3> <5AOF0 >B>?8B5;L=>3> ?5@8>40. !C<<0@=K9 B5?;>2>9 ?>B>: 4;O :064>3> <5AOF0 >B>?8B5;L=>3> ?5@8>40 >?@545;O5BAO :0: AC<<0 B5?;>2KE ?>B>:>2 =0 >B>?;5=85, 25=B8;OF8N 8 A@54=5G0A>2>3> B5?;>2>3> ?>B>:0 4;O 40==>3> ?5@8>40 =0 3>@OG55 2>4>A=0165=85. ;O =5>B>?8B5;L=>3> ?5@8>40 (?@8  EMBED Equation.DSMT4 ), AC<<0@=K9 B5?;>2>9 ?>B>: 1C45B @025= A@54=5G0A>2><C B5?;>2><C ?>B>:C =0 3>@OG55 2>4>A=0165=85 2 40==K9 ?5@8>4, Q shm. 2. 53C;8@>20=85 >B?CA:0 B5?;>BK =0 >B>?;5=85. &5=B@0;L=>5 :0G5AB25==>5 @53C;8@>20=85 ?> =03@C7:5 >B>?;5=8O F5;5A>>1@07=> 2 A;CG05, 5A;8 B5?;>20O =03@C7:0 =0 68;8I=>-:><<C=0;L=K5 =C64K A>AB02;O5B <5=55 65 % >B AC<<0@=>9 =03@C7:8 @09>=0 8 ?@8 >B=>H5=88  EMBED Equation.DSMT4 . @8 B0:>< A?>A>15 @53C;8@>20=8O, 4;O 7028A8<KE AE5< ?@8A>548=5=8O M;520B>@=KE A8AB5< >B>?;5=8O B5<?5@0BC@C 2>4K 2 ?>40NI59  EMBED Equation.3  8 >1@0B=>9  EMBED Equation.3  <038AB@0;OE, 0 B0: 65 ?>A;5 M;520B>@0  EMBED Equation.3  2 B5G5=85 >B>?8B5;L=>3> ?5@8>40 >?@545;ONB ?> A;54CNI8< 2K@065=8O<:  EMBED Equation.3  (13)  EMBED Equation.3  (14)  EMBED Equation.3  (15) 345 (t - @0AG5B=K9 B5<?5@0BC@=K9 =0?>@ =03@520B5;L=>3> ?@81>@0, 0!, >?@545;O5<K9 ?> D>@<C;5:  EMBED Equation.3 , (16) 745AL (3 8 (2 - @0AG5B=K5 B5<?5@0BC@K 2>4K A>>B25BAB25==> ?>A;5 M;520B>@0 8 2 >1@0B=>9 <038AB@0;8 B5?;>2>9 A5B8 >?@545;5==K5 ?@8  EMBED Equation.3  (4;O 68;KE @09>=>2, :0: ?@028;>, (3= 95 0!; (2= 70 0!); EMBED Equation.3( - @0AG5B=K9 ?5@5?04 B5<?5@0BC@ A5B52>9 2>4K 2 B5?;>2>9 A5B8 EMBED Equation.3( = (1 - (2 (17)  EMBED Equation.3 - @0AG5B=K9 ?5@5?04 B5<?5@0BC@ A5B52>9 2>4K 2 <5AB=>9 A8AB5<5 >B>?;5=8O,  EMBED Equation.3  (18) 04020OAL @07;8G=K<8 7=0G5=8O<8 B5<?5@0BC@ =0@C6=>3> 2>74CE0 t= (>1KG=> t== +8; 0; -10; t=@v; t=@>) >?@545;ONB (01; (02; (03 8 AB@>OB >B>?8B5;L=K9 3@0D8: B5<?5@0BC@ 2>4K. ;O C4>2;5B2>@5=8O =03@C7:8 3>@OG53> 2>4>A=0165=8O B5<?5@0BC@0 2>4K 2 ?>40NI59 <038AB@0;8 (01 =5 <>65B 1KBL =865 70 0! 2 70:@KBKE A8AB5<0E B5?;>A=0165=8O. ;O MB>3> >B>?8B5;L=K9 3@0D8: A?@O<;O5BAO =0 C@>2=5 C:070==KE B5<?5@0BC@ 8 AB0=>28BAO >B>?8B5;L=>-1KB>2K< (A<. ?@8<5@ @5H5=8O). "5<?5@0BC@0 =0@C6=>3> 2>74CE0, A>>B25BAB2CNI0O B>G:5 87;><0 3@0D8:>2 B5<?5@0BC@ 2>4K t= ', 45;8B >B>?8B5;L=K9 ?5@8>4 =0 480?07>=K A @07;8G=K<8 @568<0<8 @53C;8@>20=8O: 2 480?07>=5 I A 8=B5@20;>< B5<?5@0BC@ =0@C6=>3> 2>74CE0 >B +8 0! 4> t=' >ACI5AB2;O5BAO 3@C??>2>5 8;8 <5AB=>5 @53C;8@>20=85, 7040G59 :>B>@>3> O2;O5BAO =54>?CI5=85 "?5@53@520" A8AB5< >B>?;5=8O 8 15A?>;57=KE ?>B5@L B5?;>BK; 2 480?07>=0E II 8 III A 8=B5@20;>< B5<?5@0BC@ =0@C6=>3> 2>74CE0 >B t=' 4> t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quation.DSMT4 :  EMBED Equation.3  (19) 345  EMBED Equation.3  - 10;0=A>2K9 :>MDD8F85=B. !C<<0@=K9 ?5@5?04 B5<?5@0BC@ A5B52>9 2>4K 2 25@E=59 8 =86=59 ABC?5=OE 2>4>?>4>3@520B5;59 ( 2 B5G5=85 2A53> >B>?8B5;L=>3> ?5@8>40 ?>AB>O=5= 8 >?@545;O5BAO ?> D>@<C;5:  EMBED Equation.DSMT4  (20) 5@5?04 B5<?5@0BC@K A5B52>9 2>4K 2 =86=59 ABC?5=8 2>4>?>4>3@520B5;O (2 A>>B25BAB2CNI89 B5<?5@0BC@5 =0@C6=>3> 2>74CE0 4;O B>G:8 87;><0 B5<?5@0BC@=>3> 3@0D8:0 t=', 0 B0: 65 4;O 2A53> 480?07>=0 B5<?5@0BC@ =0@C6=>3> 2>74CE0 >B +8>! 4> t=' >?@545;ONB ?> D>@<C;5:  EMBED Equation.DSMT4  (21) 4;O 480?07>=0 >B t=' 4> t=@> 25;8G8=C (2 >?@545;ONB ?> D>@<C;5  EMBED Equation.3  (22) 345 th - B5<?5@0BC@0 3>@OG59 2>4K ?>ABC?0NI59 87 2>4>?>4>3@520B5;O 2 A8AB5<C 3>@OG53> 2>4>A=0165=8O, 0!; tc - B5<?5@0BC@0 E>;>4=>9 2>4>?@>2>4=>9 2>4K ?5@54 2>4>?>4>3@520B5;5< =86=59 ABC?5=8, 0!; th' - B5<?5@0BC@0 2>4>?@>2>4=>9 2>4K ?>A;5 2>4>?>4>3@520B5;O =86=59 ABC?5=8, 0!, >?@545;O5<0O ?> D>@<C;5  EMBED Equation.3  (23)  EMBED Equation.3 - B5<?5@0BC@0 A5B52>9 2>4K 2 >1@0B=>9 <038AB@0;8 A>>B25BAB2CNI0O B>G:5 87;><0 B5<?5@0BC@=>3> 3@0D8:0, 0!  EMBED Equation.3 - B5<?5@0BC@0 A5B52>9 2>4K 2 >1@0B=>9 <038AB@0;8 ?@8=8<05<0O ?> >B>?8B5;L=><C 3@0D8:C 2 A>>B25BAB288 A 7040==>9 B5<?5@0BC@>9 =0@C6=>3> 2>74CE0 t=, 0!; "5<?5@0BC@C A5B52>9 2>4K ?> ?>2KH5==><C 3@0D8:C 2 >1@0B=>9 <038AB@0;8 (2? >?@545;ONB ?> D>@<C;5, 0!  EMBED Equation.3  (24) 5@5?04 B5<?5@0BC@ A5B52>9 2>4K 2 25@E=59 ABC?5=8 2>4>?>4>3@520B5;O (1 >?@545;ONB ?> D>@<C;5, 0!  EMBED Equation.DSMT4  (25) "5<?5@0BC@C A5B52>9 2>4K 2 ?>40NI59 <038AB@0;8 (1? >?@545;ONB ?> D>@<C;5:  EMBED Equation.3  (26) 0AG5B ?>2KH5==>3> 3@0D8:0 4;O >B:@KB>9 A8AB5<K 5>1E>48<> 2=0G0;5 ?>AB@>8BL 3@0D8:8 B5<?5@0BC@,  EMBED Equation.3  4;O 7028A8<KE AE5< ?@8A>548=5=8O M;520B>@=KE A8AB5< >B>?;5=8O (A<. D>@<C;K (13), (14), (15)). "5<?5@0BC@K A5B52>9 2>4K 2 ?>40NI59 8 >1@0B=>9 <038AB@0;OE 4;O ?>2KH5==>3> 3@0D8:0, A>>B25BAB25==> (1? 8 ((? 2 B5G5=85 >B>?8B5;L=>3> ?5@8>40 >?@545;ONB ?> A;54CNI8< 2K@065=8O<:  EMBED Equation.3  (27)  EMBED Equation.3  (28) 345 EMBED Equation.3 - >B=>A8B5;L=K9 @0AE>4 B5?;>BK =0 >B>?;5=85, >?@545;O5<K9 ?> D>@<C;5:  EMBED Equation.3  (29) EMBED Equation.3- >B=>A8B5;L=K9 @0AE>4 A5B52>9 2>4K =0 >B>?;5=85, >?@545;O5<K9 87 2K@065=8O:  EMBED Equation.3  (30) 345 EMBED Equation.3 (31) 53C;8@>20=85 ?> ?>2KH5==><C 3@0D8:C 2 >B:@KBKE A8AB5<0E >ACI5AB2;O5BAO 2 480?07>=5 B5<?5@0BC@ =0@C6=>3> 2>74CE0 +8 >! ( t=(. "5<?5@0BC@0 =0@C6=>3> 2>74CE0 t=( A>>B25BAB2C5B =0G0;C ?5@8>40, :>340 B5<?5@0BC@0 A5B52>9 2>4K 2 >1@0B=>< B@C1>?@>2>45 4>AB8305B 7=0G5=89 th 8 25AL 2>4>@071>@ =0 3>@OG55 2>4>A=0165=85 2 480?07>=5 =0@C6=KE B5<?5@0BC@ t=(( t=@> >ACI5AB2;O5BAO B>;L:> 87 >1@0B=>3> B@C1>?@>2>40. ;O :>@@5:B=>3> ?>AB@>5=8O B5<?5@0BC@=KE 3@0D8:>2 @53C;8@>20=8O 4;O 70:@KB>9 A8AB5<K B5?;>A=0165=8O 2 >AOE  EMBED Equation.3  8  EMBED Equation.3  F5;5A>>1@07=> 2A5 @0AG5BK MB>3> @0745;0 A25AB8 2 B01;8FC B8?0 (A<. ?@8<5@ @5H5=8O): "01;8F0 !1. t(10(20(30(1(2(1(2(2V+8 EMBED Equation.3 -10 EMBED Equation.3  EMBED Equation.3  3. 53C;8@>20=85 >B?CA:0 B5?;>BK =0 25=B8;OF8N. > E0@0:B5@C 87<5=5=8O B5<?5@0BC@K 8 @0AE>40 B5?;>BK =0 25=B8;OF8N >B>?8B5;L=K9 ?5@8>4 45;8BAO =0 B@8 480?07>=0.  480?07>=5 I (>B +8 >! 4>  EMBED Equation.DSMT4 ) ?@8 ?5@5<5==>9 B5?;>2>9 25=B8;OF8>==>9 =03@C7:5 B5<?5@0BC@0 2>4K 2 ?>40NI5< B@C1>?@>2>45 ?>AB>O==0.  MB>< 480?07>=5 >ACI5AB2;O5BAO <5AB=>5 :>;8G5AB25==>5 @53C;8@>20=85 87<5=5=85< @0AE>40 A5B52>9 2>4K.  480?07>=5 II (>B  EMBED Equation.DSMT4  4> t=@v) ?> <5@5 C25;8G5=8O 25=B8;OF8>==>9 =03@C7:8 2>7@0AB05B 8 B5<?5@0BC@0 A5B52>9 2>4K.  480?07>=5 III (>B t=@v 4> t=@>) 2>7@0AB05B B5<?5@0BC@0 A5B52>9 2>4K 8 B0:65 B5?;>20O =03@C7:0 4;O 1>;LH8=AB20 25=B8;OF8>==KE A8AB5<. ;O A8AB5< 25=B8;OF88 A @5F8@:C;OF859 B5?;>20O =03@C7:0 2 40==>< 480?07>=5 ?>445@68205BAO ?>AB>O==>9. ;O A8AB5< 25=B8;OF88 157 @5F8@:C;OF88 2>74CE0 2 480?07>=0E II 8 III >ACI5AB2;O5BAO F5=B@0;L=>5 :0G5AB25==>5 @53C;8@>20=85. ;O A8AB5< A @5F8@:C;OF859 2 480?07>=5 III >ACI5AB2;O5BAO <5AB=>5 :>;8G5AB25==>5 @53C;8@>20=85 87<5=5=85< @0AE>40 A5B52>9 2>4K 8 :>;8G5AB20 =0@C6=>3> 8 @5F8@:C;OF8>==>3> 2>74CE0. @8 ?>AB@>5=88 3@0D8:>2 B5<?5@0BC@ A5B52>9 2>4K 4;O A8AB5< 25=B8;OF88 >A=>2=>9 7040G59 O2;O5BAO >?@545;5=85 B5<?5@0BC@K A5B52>9 2>4K 2 >1@0B=>< B@C1>?@>2>45 ?>A;5 :0;>@8D5@>2 (2v 4;O @07;8G=KE 480?07>=>2 >B>?8B5;L=>3> ?5@8>40. ;O @5H5=8O MB>9 7040G8 8A?>;L7CNB A;54CNI85 C@02=5=8O: 4;O 480?07>=0 I (>B +8 >! 4>  EMBED Equation.DSMT4 )  EMBED Equation.3  (32) 4;O 480?07>=0 II (>B  EMBED Equation.DSMT4  4> tv)  EMBED Equation.3  (33) 4;O 480?07>=0 III (>B tv 4> to) EMBED Equation.3 (34) 345 (t: - B5<?5@0BC@=K9 =0?>@ 2 :0;>@8D5@5, >?@545;O5<K9 ?@8 B5<?5@0BC@5 t= ((t:' - B> 65 ?@8 B5<?5@0BC@5  EMBED Equation.DSMT4  )  EMBED Equation.3  (35)  EMBED Equation.3  (36) (tp: - @0AG5B=K9 B5<?5@0BC@=K9 =0?>@ 2 :0;>@8D5@5, >?@545;5==K9 ?@8 B5<?5@0BC@5 =0@C6=>3> 2>74CE0, @0AG5B=>9 4;O A8AB5< 25=B8;OF88, EMBED Equation.3  :  EMBED Equation.3  (37) (1v, (2v - 7=0G5=8O B5<?5@0BC@ A5B52>9 2>4K A>>B25BAB25==> 2 ?>40NI5< B@C1>?@>2>45 ?5@54 :0;>@8D5@0<8 8 2 >1@0B=>< B@C1>?@>2>45 ?>A;5 :0;>@8D5@>2 ?@8 7040==>9 B5<?5@0BC@5 =0@C6=>3> 2>74CE0 t= ;  EMBED Equation.DSMT4 ;  EMBED Equation.DSMT4  - B> 65, => 4;O B>G:8 87;><0 B5<?5@0BC@=>3> 3@0D8:0 t EMBED Equation.3 .  EMBED Equation.DSMT4 ;  EMBED Equation.DSMT4  - B> 65, => ?@8 @0AG5B=>9 B5<?5@0BC@5 =0@C6=>3> 2>74CE0 4;O 25=B8;OF88, t=@v. #@02=5=8O (32) 8 (34) @5H0NBAO <5B>4>< ?>41>@0. 0AG5B B5<?5@0BC@ A5B52>9 2>4K 4;O >B>?8B5;L=KE 8 ?>2KH5==KE 3@0D8:>2 @53C;8@>20=8O <>65B 1KBL 2K?>;=5= A 8A?>;L7>20=85< B01;8F 8 =><>3@0<<, ?@82545==KE 2 ?@8;>65=88. 4. ?@545;5=85 @0AE>4>2 A5B52>9 2>4K. 0AG5B=K9 @0AE>4 A5B52>9 2>4K, :3/G, 4;O >?@545;5=8O 480<5B@>2 B@C1 2 2>4O=KE B5?;>2KE A5BOE ?@8 :0G5AB25==>< @53C;8@>20=88 >B?CA:0 B5?;>BK A;54C5B >?@545;OBL >B45;L=> 4;O >B>?;5=8O, 25=B8;OF88 8 3>@OG53> 2>4>A=0165=8O ?> D>@<C;0<: =0 >B>?;5=85 EMBED Equation.3 (38) =0 25=B8;OF8N EMBED Equation.3 (39) =0 3>@OG55 2>4>A=0165=85 2 >B:@KBKE A8AB5<0E B5?;>A=0165=8O A@54=5G0A>2>9 EMBED Equation.3 (40) <0:A8<0;L=K9 EMBED Equation.3 (41) 2 70:@KBKE A8AB5<0E B5?;>A=0165=8O A@54=5G0A>2>9, ?@8 ?0@0;;5;L=>9 AE5<5 ?@8A>548=5=8O 2>4>?>4>3@520B5;59 EMBED Equation.3 (42) <0:A8<0;L=K9, ?@8 ?0@0;;5;L=>9 AE5<5 ?@8A>548=5=8O 2>4>?>4>3@520B5;59 EMBED Equation.3 (43) A@54=5G0A>2>9, ?@8 42CEABC?5=G0BKE AE5<0E ?@8A>548=5=8O 2>4>?>4>3@520B5;59 EMBED Equation.3 (44) <0:A8<0;L=K9, ?@8 42CEABC?5=G0BKE AE5<0E ?@8A>548=5=8O 2>4>?>4>3@520B5;59 EMBED Equation.3 (45)  D>@<C;0E (38  45) @0AG5B=K5 B5?;>2K5 ?>B>:8 ?@82>4OBAO 2 B, B5?;>Q<:>ABL A ?@8=8<05BAO @02=>9  EMBED Equation.3 . 0AG5B ?> MB8< D>@<C;0< ?@>872>48BAO ?>MB0?=>, 4;O B5<?5@0BC@  EMBED Equation.3 . !C<<0@=K5 @0AG5B=K5 @0AE>4K A5B52>9 2>4K, :3/G, 2 42CEB@C1=KE B5?;>2KE A5BOE 2 >B:@KBKE 8 70:@KBKE A8AB5<0E B5?;>A=0165=8O ?@8 :0G5AB25==>< @53C;8@>20=88 >B?CA:0 B5?;>BK A;54C5B >?@545;OBL ?> D>@<C;5: EMBED Equation.3 (46) >MDD8F85=B k3, CG8BK20NI89 4>;N A@54=5G0A>2>3> @0AE>40 2>4K =0 3>@OG55 2>4>A=0165=85 ?@8 @53C;8@>20=88 ?> =03@C7:5 >B>?;5=8O, A;54C5B ?@8=8<0BL ?> B01;8F5 !2 : "01;8F0 !2. =0G5=8O :>MDD8F85=B0 k3 !8AB5<0 B5?;>A=0165=8O=0G5=85 :>MDD8F85=B0 k3>B:@KB0O A B5?;>2K< ?>B>:><, B:100 8 1>;550.6<5=55 1000.870:@KB0O A B5?;>2K< ?>B>:><, B:100 8 1>;551.0<5=55 1001.2  '. @8 @53C;8@>20=88 ?> A>2<5I5==>9 =03@C7:5 >B>?;5=8O 8 3>@OG53> 2>4>A=0165=8O :>MDD8F85=B k3 ?@8=8<05BAO @02=K< =C;N. ;O 70:@KBKE A8AB5< B5?;>A=0165=8O ?@8 @53C;8@>20=88 ?> =03@C7:5 >B>?;5=8O 8 B5?;>2>< ?>B>:5 <5=55 100 B ?@8 =0;8G88 10:>2 0::C<C;OB>@>2 C ?>B@518B5;59 :>MDD8F85=B k3 A;54C5B ?@8=8<0BL @02=K< 548=8F5. !C<<0@=K9 @0AG5B=K9 @0AE>4 2>4K 4;O ?>B@518B5;59 ?@8  EMBED Equation.DSMT4  ?@8 >BACBAB288 10:>2 0::C<C;OB>@>2, 0 B0:65 A B5?;>2K< ?>B>:>< 10 B 8 <5=55, A;54C5B >?@545;OBL ?> D>@<C;5: EMBED Equation.3 (47) 0AG5B=K9 @0AE>4 2>4K, :3/G, 2 42CEB@C1=KE 2>4O=KE B5?;>2KE A5BOE 2 =5>B>?8B5;L=K9 ?5@8>4,  EMBED Equation.3 , A;54C5B >?@545;OBL ?> D>@<C;5:  EMBED Equation.3  (48) 345  EMBED Equation.3  - :>MDD8F85=B, CG8BK20NI89 87<5=5=85 @0AE>40 2>4K =0 3>@OG55 2>4>A=0165=85 2 =5>B>?8B5;L=K9 ?5@8>4 (>?@545;O5BAO ?> ?@8;>65=8N !7). 0AE>4 2>4K 2 >1@0B=>< B@C1>?@>2>45 42CEB@C1=KE 2>4O=KE B5?;>2KE A5B59 >B:@KBKE A8AB5< B5?;>A=0165=8O ?@8=8<05BAO @02=K< 2 @07<5@5 10 % >B @0AG5B=>3> @0AE>40 2>4K, >?@545;5==>3> ?> D>@<C;5 (41). 0AG5B=K9 @0AE>4 2>4K 4;O >?@545;5=8O 480<5B@>2 ?>40NI8E 8 F8@:C;OF8>==KE B@C1>?@>2>4>2 A8AB5< 3>@OG53> 2>4>A=0165=8O A;54C5B >?@545;OBL 2 A>>B25BAB288 A> !8 2.04.01-85. 5. 84@02;8G5A:89 8 B5?;>2>9 @0AG5B B5?;>2KE A5B59. A=>2=>9 7040G59 384@02;8G5A:>3> @0AG5B0 O2;O5BAO >?@545;5=85 480<5B@>2 B@C1>?@>2>4>2, 0 B0:65 ?>B5@L 402;5=8O =0 CG0AB:0E B5?;>2KE A5B59. > @57C;LB0B0< 384@02;8G5A:8E @0AG5B>2 @07@010BK20NB 384@02;8G5A:85 @568<K A8AB5< B5?;>A=0165=8O, ?>418@0NB A5B52K5 8 ?>4?8B>G=K5 =0A>AK, 02B>@53C;OB>@K, 4@>AA5;L=K5 CAB@>9AB20, >1>@C4>20=85 B5?;>2KE ?C=:B>2. 84@02;8G5A:89 @0AG5B 2K?>;=O5BAO, :0: ?@028;>, 2 2 MB0?0: -B0? 1. 07@01>B:0 @0AG5B=>9 AE5<K B5?;>2KE A5B59. 0 @0AG5B=>9 AE5<5 ?@>AB02;ONB =><5@0 CG0AB:>2 (A=0G0;0 ?> 3;02=>9 <038AB@0;8, 70B5< ?> >B25B2;5=8O<), @0AE>4K B5?;>=>A8B5;O 2 :3/A 8;8 2 B/G, 4;8=K CG0AB:>2 2 <5B@0E. ;02=>9 <038AB@0;LN O2;O5BAO =081>;55 ?@>BO65==0O 8 =03@C65==0O 25B2L A5B8 >B 8AB>G=8:0 B5?;>BK (B>G:8 ?>4:;NG5=8O) 4> =081>;55 C40;5==>3> ?>B@518B5;O. @8 =58725AB=>< @0A?>;0305<>< ?5@5?045 402;5=8O 2 =0G0;5 B5?;>B@0AAK, C45;L=K5 ?>B5@8 402;5=8O R A;54C5B ?@8=8<0BL: 0) =0 CG0AB:0E 3;02=>9 <038AB@0;8 20 - 40, => =5 1>;55 80 0/<; 1) =0 >B25B2;5=8OE - ?> @0A?>;0305<><C ?5@5?04C 402;5=8O, => =5 1>;55 300 0/<. -B0? 2. ?@545;5=85 ?>;=KE ?>B5@L 402;5=8O =0 :064>< CG0AB:5 B@C1>?@>2>40. >;=K5 ?>B5@8 402;5=8O (  A:;04K20NBAO 87 ?>B5@L 402;5=8O =0 B@5=85  EMBED Equation.DSMT4  8 ?>B5@L 402;5=8O 2 <5AB=KE A>?@>B82;5=8OE ( < :  EMBED Equation.DSMT4  (49) >B5@8 402;5=8O =0 B@5=85  EMBED Equation.DSMT4  >?@545;ONB ?> D>@<C;5:  EMBED Equation.DSMT4  (50) 345 R - C45;L=K5 ?>B5@8 402;5=8O, 0/<, >?@545;O5<K5 ?> D>@<C;5 EMBED Equation.3, (51) 745AL ( - :>MDD8F85=B 384@02;8G5A:>3> B@5=8O; d - 2=CB@5==89 480<5B@ B@C1>?@>2>40, <; ( - ?;>B=>ABL B5?;>=>A8B5;O, :3/<3; ( - A:>@>ABL 42865=8O B5?;>=>A8B5;O, </c; L - 4;8=0 B@C1>?@>2>40, <. >B5@8 402;5=8O 2 <5AB=KE A>?@>B82;5=8OE ( < >?@545;ONB ?> D>@<C;5: EMBED Equation.3 (52) 345 (( - AC<<0 :>MDD8F85=B>2 <5AB=KE A>?@>B82;5=89. >B5@8 402;5=8O 2 <5AB=KE A>?@>B82;5=8OE <>3CB 1KBL B0:65 >?@545;5=K ?> A;54CNI59 D>@<C;5: ( < ( R LM, (53) 745AL LM - M:2820;5=B=0O 4;8=0 <5AB=KE A>?@>B82;5=89, :>B>@CN >?@545;ONB ?> D>@<C;5: EMBED Equation.3 (54) 84@02;8G5A:89 @0AG5B 2K?>;=ONB ?> B01;8F0< 8 =><>3@0<<0<, ?@54AB02;5==K< 2 ?@8;>65=88. !=0G0;0 2K?>;=ONB @0AG5B 3;02=>9 <038AB@0;8. > 8725AB=K< @0AE>40<, >@85=B8@COAL =0 @5:><5=4>20==K5 25;8G8=K C45;L=KE ?>B5@L 402;5=8O R, >?@545;ONB: 480<5B@K B@C1>?@>2>4>2 d=(S (A<. ?@8;>65=85 !12) D0:B8G5A:85 C45;L=K5 ?>B5@8 402;5=8O R, 0/<; A:>@>ABL 42865=8O B5?;>=>A8B5;O (, </A. #A;>2=K9 ?@>E>4 B@C1, =57028A8<> >B @0AG5B=>3> @0AE>40 B5?;>=>A8B5;O =5 4>;65= ?@52KH0BL 2 B5?;>2KE A5BOE 32 <<. !:>@>ABL 42865=8O B5?;>=>A8B5;O (2>4K) =5 4>;6=0 ?@52KH0BL 3,5 </A. ?@545;82 480<5B@K B@C1>?@>2>4>2, =0E>4OB: :>;8G5AB2> :><?5=A0B>@>2 =0 CG0AB:0E <5AB=K5 A>?@>B82;5=8O >B5@8 402;5=8O 2 <5AB=KE A>?@>B82;5=8OE >?@545;ONB ?> D>@<C;5 (52), ;81>, ?> D>@<C;5 (53). 0B5<, >?@545;82 ?>;=K5 ?>B5@8 402;5=8O =0 CG0AB:0E 3;02=>9 <038AB@0;8 8 AC<<0@=K5 ?> 2A59 55 4;8=5, 2K?>;=ONB 384@02;8G5A:89 @0AG5B >B25B2;5=89, C2O7K20O ?>B5@8 402;5=8O 2 =8E A A>>B25BAB2CNI8<8 G0ABO<8 3;02=>9 <038AB@0;8 (>B B>G:8 45;5=8O ?>B>:>2 4> :>=F52KE ?>B@518B5;59). #2O7:C ?>B5@L 402;5=8O 2K?>;=ONB ?>41>@>< 480<5B@>2 B@C1>?@>2>4>2 >B25B2;5=89. 52O7:0 =5 4>;6=0 ?@52KH0BL 10 %. @8 =52>7<>6=>AB8 ?>;=>ABLN C2O70BL 480<5B@0<8, 87;8H=89 =0?>@ =0 >B25B2;5=8OE 4>;65= 1KBL ?>30H5= A>?;0<8 M;520B>@>2, 4@>AA5;L=K<8 480D@03<0<8 8 02B>@53C;OB>@0<8 ?>B@518B5;59. @8 8725AB=>< @0A?>;0305<>< 402;5=88 ( @ 4;O 2A59 A5B8, 0 B0:65 4;O >B25B2;5=89, ?@5420@8B5;L=> >?@545;ONB >@85=B8@>2>G=K5 A@54=85 C45;L=K5 ?>B5@8 402;5=8O Rm, 0/<: EMBED Equation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quation.3  >?@545;O5BAO 480<5B@ ?0@>?@>2>40 ?> D>@<C;5:  EMBED Equation.3  (56)  1>;LH8=AB25 @0AG5B>2 C45;L=>5 ?045=85 402;5=8O  EMBED Equation.3  ;568B 2 ?@545;0E 180  220 0/<. (? = 6,25 :3/<3  ?;>B=>ABL ?0@0 ?@8 t = 230 !. >;CG5==>5 7=0G5=85 480<5B@0 d CB>G=O5BAO ?> !" 8731-74. 2. #B>G=O5BAO 7=0G5=85 C45;L=>3> ?045=8O 402;5=8O  EMBED Equation.3  (57) 3. >B5@8 B5<?5@0BC@K ?> 4;8=5 ?0@>?@>2>40  EMBED Equation.3  (58) 345 ql = 353 B/<  =>@<K B5?;>2KE ?>B5@L 4;O ?0@>?@>2>40 ?@8 t? = 230 !; l  4;8=0 ?0@>?@>2>40; ( = 0,2  :>MDD8F85=B <5AB=KE ?>B5@L; A@ = 2449 :6/(:3(!)  B5?;>5<:>ABL ?0@0. 4. 02;5=85 2 :>=F5 ?0@>?@>2>40  EMBED Equation.3  (59) 345 ( =  EMBED Equation.3  - 4>;O <5AB=KE A>?@>B82;5=89; 1  402;5=85 ?0@0 C 8AB>G=8:0; "A@ =  EMBED Equation.3   A@54=OO B5<?5@0BC@0 ?0@0 ?> 4;8=5 ?0@>?@>2>40; 5. 045=85 402;5=8O ?0@0 (  = 1  2 (60) 6. >B5@8 =0?>@0  EMBED Equation.3  (61) 6. 84@02;8G5A:85 @568<K 2>4O=KE B5?;>2KE A5B59 84@02;8G5A:85 @568<K 2>4O=KE B5?;>2KE A5B59 (?L57><5B@8G5A:85 3@0D8:8) A;54C5B @07@010BK20BL 4;O >B>?8B5;L=>3> 8 =5>B>?8B5;L=>3> ?5@8>4>2. L57><5B@8G5A:89 3@0D8: ?>72>;O5B: >?@545;8BL =0?>@K 2 ?>40NI5< 8 >1@0B=>< B@C1>?@>2>40E, 0 B0:65 @0A?>;0305<K9 =0?>@ 2 ;N1>9 B>G:5 B5?;>2>9 A5B8. L57><5B@8G5A:85 3@0D8:8 AB@>OBAO 4;O <038AB@0;L=KE 8 :20@B0;L=KE B5?;>2KE A5B59. ;O <038AB@0;L=KE B5?;>2KE A5B59 <>3CB 1KBL ?@8=OBK <0AHB01K: 3>@87>=B0;L=K9 3 1:10000; 25@B8:0;L=K9 2 1:1000; 4;O :20@B0;L=KE B5?;>2KE A5B59: 3 1:1000, 2 1:500. L57><5B@8G5A:85 3@0D8:8 AB@>OBAO 4;O AB0B8G5A:>3> 8 48=0<8G5A:>3> @568<>2 A8AB5<K B5?;>A=0165=8O. L57><5B@8G5A:89 3@0D8: 4;O >B0?;8205<>3> ?5@8>40 AB@>8BAO ?>>G5@54=>, 2 9 MB0?>2: 1). 0 =0G0;> :>>@48=0B 2 <038AB@0;L=KE A5BOE ?@8=OBL <5AB>?>;>65=85 "-&. 2).  ?@8=OBKE <0AHB010E ?>AB@>8BL ?@>D8;L B@0AAK 8 2KA>BK ?@8A>548=5==KE ?>B@518B5;59 (?@8=O2 9-B8 MB06=CN 70AB@>9:C). 0 =C;52CN >B<5B:C >A8 >@48=0B (>A8 =0?>@>2) ?@8=8<0NB >B<5B:C =87H59 B>G:8 B5?;>B@0AAK 8;8 >B<5B:C A5B52KE =0A>A>2. 3). >AB@>8BL ;8=8N AB0B8G5A:>3> =0?>@0, 25;8G8=0 :>B>@>3> 4>;6=0 1KBL 2KH5 <5AB=KE A8AB5< B5?;>?>B@51;5=8O =5 <5=55 G5< =0 5 <5B@>2, >15A?5G820O 8E 70I8BC >B >3>;5=8O, 8 2 B> 65 2@5<O =5 4>;6=0 ?@52KH0BL <0:A8<0;L=K9 @01>G89 =0?>@ 4;O <5AB=KE A8AB5<. 5;8G8=0 <0:A8<0;L=>3> @01>G53> =0?>@0 A>AB02;O5B: 4;O A8AB5< >B>?;5=8O A> AB0;L=K<8 =03@520B5;L=K<8 ?@81>@0<8 8 4;O :0;>@8D5@>2 - 80 <5B@>2; 4;O A8AB5< >B>?;5=8O A GC3C==K<8 @0480B>@0<8 - 60 <5B@>2; 4;O =57028A8<KE AE5< ?@8A>548=5=8O A ?>25@E=>AB=K<8 B5?;>>1<5==8:0<8 - 100 <5B@>2. 4). 0 >A8 >@48=0B >B:;04K205BAO B@51C5<K9 =0?>@ C 2A0AK20NI8E ?0B@C1:>2 A5B52KE =0A>A>2 (30 - 35 <5B@>2) 2 7028A8<>AB8 >B <0@:8 =0A>A0. 5). A?>;L7CO @57C;LB0BK 384@02;8G5A:>3> @0AG5B0, AB@>OB ;8=8N ?>B5@L =0?>@0 >1@0B=>9 <038AB@0;8. 5;8G8=0 =0?>@>2 2 >1@0B=>9 <038AB@0;8 4>;6=0 A>>B25BAB2>20BL B@51>20=8O< C:070==K< 2KH5 ?@8 ?>AB@>5=88 ;8=88 AB0B8G5A:>3> =0?>@0. 6). !B@>8BAO ;8=8O @0A?>;0305<>3> =0?>@0 4;O A8AB5<K B5?;>A=0165=8O @0AG5B=>3> :20@B0;0. 5;8G8=0 @0A?>;0305<>3> =0?>@0 2 B>G:5 ?>4:;NG5=8O :20@B0;L=KE A5B59 ?@8=8<05BAO =5 <5=55 40 <. 7). !B@>8BAO ;8=8O ?>B5@L =0?>@0 ?>40NI53> B@C1>?@>2>40, 0 B0: 65 ;8=8O ?>B5@L =0?>@0 2 :><<C=8:0F8OE 8AB>G=8:0 B5?;>BK ("-&). @8 >BACBAB288 40==KE ?>B5@8 =0?>@0 2 :><<C=8:0F8OE "-& <>3CB 1KBL ?@8=OBK @02=K<8 25 - 30 <. 0?>@ 2> 2A5E B>G:0E ?>40NI53> B@C1>?@>2>40 8AE>4O 87 CA;>28O 53> <5E0=8G5A:>9 ?@>G=>AB8 =5 4>;65= ?@52KH0BL 160 <. L57><5B@8G5A:89 3@0D8: <>65B 1KBL ?5@5<5I5= ?0@0;;5;L=> A515 225@E 8;8 2=87 5A;8 2>7=8:05B >?0A=>ABL >3>;5=8O 8;8 @07402;820=8O <5AB=KE A8AB5< B5?;>A=0165=8O. @8 MB>< =5>1E>48<> CG8BK20BL, GB>1K =0?>@ =0 2A0AK20NI5< ?0B@C1:5 =5 ?@52KA8; ?@545;L=>3> 7=0G5=8O 4;O ?@8=OB>9 <0@:8 =0A>A0. 8). >4 ?L57><5B@8G5A:8< 3@0D8:>< @0A?>;0305BAO A?@O<;5==0O >4=>;8=59=0O AE5<0 B5?;>B@0AAK A >B25B2;5=8O<8, C:07K20NBAO =><5@0 8 4;8=K CG0AB:>2, 480<5B@K B@C1>?@>2>4>2, @0AE>4K B5?;>=>A8B5;O, @0A?>;0305<K5 =0?>@K 2 C7;>2KE B>G:0E. 9). 0 ?L57><5B@8G5A:>< 3@0D8:5 3;02=>9 <038AB@0;8 AB@>8BAO 3@0D8: @0AG5B=>3> >B25B2;5=8O. ;O ?>AB@>5=8O ?L57><5B@8G5A:8E 3@0D8:>2 4;O =5>B>?8B5;L=>3> ?5@8>40 =5>1E>48<>: 1). ?@545;8BL ?>B5@8 402;5=8O 2 3;02=>9 <038AB@0;8 ?@8 ?@>?CA:5 <0:A8<0;L=>3> @0AE>40 A5B52>9 2>4K =0 3>@OG55 2>4>A=0165=85 Ghmax.  >B:@KBKE A8AB5<0E ?>B5@8 402;5=8O 2 >1@0B=>9 <038AB@0;8 >?@545;ONB ?@8 ?@>?CA:5 @0AE>40 @02=>3> 0,1Ghmax. 2). @8=OBL ?>B5@8 =0?>@0 2 :><<C=8:0F8OE 8AB>G=8:0, 0 B0:65 @0A?>;0305<K9 =0?>@ ?5@54 @0AG5B=K< :20@B0;>< B0:8<8 65, :0: 8 4;O >B>?8B5;L=>3> ?5@8>40. 3). !;54C5B CG8BK20BL, GB> :20@B0;L=K5 A5B8 O2;ONBAO ?@>4>;65=85< <038AB@0;L=KE A5B59. 0A?>;0305<K9 =0?>@ 2 =0G0;5 :20@B0;L=KE A5B59 (40 <.) 4>;65= 1KBL 8A?>;L7>20= =0 ?>B5@8 =0?>@0 2 <5AB=KE A8AB5<0E B5?;>?>B@51;5=8O 740=89 :20@B0;>2 8 =0 ?>B5@8 =0?>@0 2 ?>40NI59 8 >1@0B=>9 <038AB@0;OE :20@B0;L=KE A5B59. 4). !;54C5B CG8BK20BL, GB> ;8=88 =0?>@>2 ?L57><5B@8G5A:>3> 3@0D8:0 :20@B0;L=KE A5B59 8 ?@8 AB0B8G5A:><, 8 ?@8 48=0<8G5A:>< @568<0E 1C4CB ?@>4>;65=85< A>>B25BAB2CNI8E ;8=89 ?L57><5B@8G5A:>3> 3@0D8:0 <038AB@0;L=KE B5?;>2KE A5B59. 7. >41>@ A5B52KE 8 ?>4?8B>G=KE =0A>A>2 0?>@ A5B52KE =0A>A>2  EMBED Equation.DSMT4  A;54C5B >B45;L=> >?@545;OBL 4;O >B>?8B5;L=>3> 8 =5>B>?8B5;L=>3> ?5@8>4>2 ?> D>@<C;5:  EMBED Equation.DSMT4  (62) 345  EMBED Equation.DSMT4  - ?>B5@8 =0?>@0 2 CAB0=>2:0E =0 8AB>G=8:5 B5?;>BK (?@8 >BACBAB288 1>;55 B>G=KE 40==KE, <>3CB 1KBL ?@8=OBK @02=K<8 30 <);  EMBED Equation.3  - ?>B5@8 =0?>@0 2 ?>40NI5< B@C1>?@>2>45;  EMBED Equation.3  - ?>B5@8 =0?>@0 2 >1@0B=>< B@C1>?@>2>45;  EMBED Equation.3  - ?>B5@8 =0?>@0 2 <5AB=>9 A8AB5<5 B5?;>?>B@51;5=8O (=5 <5=55 40<). >B5@8 =0?>@0 2 ?>40NI5< 8 >1@0B=>< B@C1>?@>2>40E 4;O >B>?8B5;L=>3> ?5@8>40 ?@8=8<0NB ?> @57C;LB0B0< 384@02;8G5A:>3> @0AG5B0 ?@8 ?@>?CA:5 AC<<0@=KE @0AG5B=KE @0AE>4>2 2>4K. >B5@8 =0?>@0 4;O =5>B>?8B5;L=>3> ?5@8>40 0). 2 ?>40NI8E B@C1>?@>2>40E:  EMBED Equation.DSMT4  (63) 1). 2 >1@0B=>< B@C1>?@>2>45 >B:@KBKE A8AB5< B5?;>A=0165=8O:  EMBED Equation.DSMT4  (64) 345  EMBED Equation.DSMT4  - AC<<0@=K9 @0AE>4 A5B52>9 2>4K =0 3>;>2=>< CG0AB:5 A8AB5<K B5?;>A=0165=8O 2 >B>?8B5;L=K9 ?5@8>4;  EMBED Equation.DSMT4  - <0:A8<0;L=K9 @0AE>4 A5B52>9 2>4K =0 3>@OG55 2>4>A=0165=85 2 =5>B>?8B5;L=K9 ?5@8>4, >?@545;O5<K9 ?> D>@<C;5 (48). >40G0 (?@>872>48B5;L=>ABL) @01>G8E =0A>A>2 0) A5B52KE =0A>A>2 4;O 70:@KBKE A8AB5< B5?;>A=0165=8O 2 >B>?8B5;L=K9 ?5@8>4 - ?> AC<<0@=><C @0AG5B=><C @0AE>4C 2>4K, >?@545;O5<><C ?> D>@<C;5 (46) CG51=>3> ?>A>18O; 1) A5B52KE =0A>A>2 4;O >B:@KBKE A8AB5< B5?;>A=0165=8O 2 >B>?8B5;L=K9 ?5@8>4 - ?> AC<<0@=><C @0AG5B=><C @0AE>4C 2>4K, >?@545;O5<><C ?@8 k4 =1,4 ?> D>@<C;5  EMBED Equation.DSMT4  (65) 2) A5B52KE =0A>A>2 4;O 70:@KBKE 8 >B:@KBKE A8AB5< B5?;>A=0165=8O 2 =5>B>?8B5;L=K9 ?5@8>4 - ?> <0:A8<0;L=><C @0AE>4C 2>4K =0 3>@OG55 2>4>A=0165=85 2 =5>B>?8B5;L=K9 ?5@8>4 (D>@<C;0 (48)). '8A;> A5B52KE =0A>A>2 A;54C5B ?@8=8<0BL =5 <5=55 42CE, >48= 87 :>B>@KE - @575@2=K9; ?@8 ?OB8 @01>G8E A5B52KE =0A>A0E, A>548=Q==KE ?0@0;;5;L=> 2 >4=>9 3@C??5, 4>?CA:05BAO @575@2=K9 =0A>A =5 CAB0=02;820BL. 0?>@ ?>4?8B>G=KE =0A>A>2 H?= 4>;65= >?@545;OBLAO 87 CA;>289 ?>445@60=8O 2 2>4O=KE B5?;>2KE A5BOE AB0B8G5A:>3> =0?>@0 AB 8 ?@5>4>;5=8O ?>B5@L =0?>@0 2 ?>4?8B>G=>9 ;8=88 (H?;, 25;8G8=0 :>B>@KE, ?@8 >BACBAB288 1>;55 B>G=KE 40==KE, ?@8=8<05BAO @02=>9 10-20 <.  EMBED Equation.DSMT4  (66) 745AL z  @07=>ABL >B<5B>: C@>2=O 2>4K 2 ?>4?8B>G=>< 10:5 8 >A8 ?>4?8B>G=KE =0A>A>2. >40G0 ?>4?8B>G=KE =0A>A>2  EMBED Equation.DSMT4  0). 2 70:@KBKE A8AB5<0E B5?;>A=0165=8O ?@8=8<05BAO @02=>9 @0AG5B=><C @0AE>4C 2>4K =0 :><?5=A0F8N CB5G:8 87 B5?;>2>9 A5B8  EMBED Equation.DSMT4 :  EMBED Equation.DSMT4  (67) 1). 2 >B:@KBKE A8AB5<0E - @02=>9 AC<<5 <0:A8<0;L=>3> @0AE>40 2>4K =0 3>@OG55 2>4>A=0165=85  EMBED Equation.DSMT4  8 @0AG5B=>3> @0AE>40 2>4K =0 :><?5=A0F8N CB5G:8  EMBED Equation.DSMT4 :  EMBED Equation.DSMT4  (68) 0AG5B=K9 @0AE>4 2>4K =0 :><?5=A0F8N CB5G:8  EMBED Equation.DSMT4 , ?@8=8<05BAO 2 @07<5@5 0,75% >B >1J5<0 2>4K 2 A8AB5<5 B5?;>A=0165=8O, 020@89=K9 @0AE>4 =0 :><?5=A0F8N CB5G:8 ?@8=8<05BAO 2 @07<5@5 2% >B >1J5<0 2>4K 2 A8AB5<5 B5?;>A=0165=8O. 1J5< 2>4K 2 A8AB5<5 B5?;>A=0165=8O 4>?CA:05BAO ?@8=8<0BL @02=K< 65 <3 =0 1 B @0AG5B=>3> B5?;>2>3> ?>B>:0 ?@8 70:@KB>9 A8AB5<5 B5?;>A=0165=8O 8 70 <3 =0 1 B - ?@8 >B:@KB>9 A8AB5<5 B5?;>A=0165=8O. '8A;> ?0@0;;5;L=> 2:;NG5==KE ?>4?8B>G=KE =0A>A>2 0). 2 70:@KBKE A8AB5<0E B5?;>A=0165=8O =5 <5=55 42CE, >48= 87 :>B>@KE O2;O5BAO @575@2=K<; 1). 2 >B:@KBKE A8AB5<0E =5 <5=55 B@5E, >48= 87 :>B>@KE B0:65 O2;O5BAO @575@2=K<. "5E=8G5A:85 40==K5 =0A>A>2 4;O A8AB5< B5?;>A=0165=8O ?@82545=K 2 ?@8;>65=8OE !21 8 !22. @8 ?>41>@5 =0A>A>2 A;54C5B CG8BK20BL B@51>20=8O ?> <0:A8<0;L=>9 B5<?5@0BC@5 2>4K, ?> 25;8G8=5 4>?CA:05<KE =0?>@>2 =0 2A0AK20NI5< ?0B@C1:5 =0A>A0. 7 CA;>289 M:>=><88 ?>B@51;5=8O M;5:B@>M=5@388 25;8G8=0  =0A>A0  EMBED Equation.DSMT4 , =5 4>;6=0 1KBL <5=55 90% >B 25;8G8=K <0:A8<0;L=>3>   EMBED Equation.DSMT4 . #:070=85 <>45;59 8 :>;8G5AB20 A5B52KE 8 ?>4?8B>G=KE =0A>A>2 ?@>8725AB8 2 @0745;5 !12. 8. 0AG5B B>;I8=K B5?;>2>9 87>;OF88 0AG5B B>;I8=K B5?;>2>9 87>;OF88 B@C1>?@>2>4>2 (: ?> =>@<8@>20==>9 ?;>B=>AB8 B5?;>2>3> ?>B>:0 2K?>;=ONB ?> D>@<C;5:  EMBED Equation.3  (69) 345 d - =0@C6=K9 480<5B@ B@C1>?@>2>40, <; 5 - >A=>20=85 =0BC@0;L=>3> ;>30@8D<0; (: - B5?;>?@>2>4=>ABL B5?;>87>;OF8>==>3> A;>O, B/(< !), (>?@545;O5<0O ?> ?@8;>65=8N !15 8 !24); R: - B5@<8G5A:>5 A>?@>B82;5=85 A;>O 87>;OF88, < !/B, 25;8G8=C :>B>@>3> >?@545;ONB 2 7028A8<>AB8 >B A?>A>10 ?@>:;04:8 B@C1>?@>2>40 ?> A;54CNI8< 2K@065=8O<: @8 =0475<=>9 ?@>:;04:5 (B0:65 ?@>:;04:5 2 B>==5;OE 8 B5E?>4?>;LOE):  EMBED Equation.3  (70) @8 ?>475<=>9 ?@>:;04:5 :0=0;L=0O ?@>:;04:0  EMBED Equation.3  (71) 15A:0=0;L=0O ?@>:;04:0  EMBED Equation.3  (72) 345  EMBED Equation.DSMT4  - =>@<8@>20==0O ;8=59=0O ?;>B=>ABL B5?;>2>3> ?>B>:0, B/< (?@8=8<05BAO ?> ?@8;>65=8N 16);  EMBED Equation.DSMT4  - A@54=OO 70 ?5@8>4 M:A?;C0B0F88 B5<?5@0BC@0 B5?;>=>A8B5;O (?@8 ?0@0<5B@0E B5?;>=>A8B5;O 150/90 ?@8=8<05BAO 4;O ?>40NI53> B@C1>?@>2>40 90 EMBED Equation.3 !, 4;O >1@0B=>3> 50 EMBED Equation.3 !);  EMBED Equation.DSMT4  - A@54=53>4>20O B5<?5@0BC@0 >:@C60NI59 A@54K (>?@545;O5BAO ?> ?@8;>65=8N !18 2 7028A8<>AB8 >B 2840 ?@>:;04:8 B@C1>?@>2>40);  EMBED Equation.DSMT4  - :>MDD8F85=B, ?@8=8<05<K9 ?> ?@8;>65=8N !19.  EMBED Equation.DSMT4  - B5@<8G5A:>5 A>?@>B82;5=85 ?>25@E=>AB8 87>;OF8>==>3> A;>O, <! /B, >?@545;O5<>5 ?> D>@<C;5:  EMBED Equation.DSMT4  (73) 745AL  EMBED Equation.3 - :>MDD8F85=B B5?;>>B40G8 A ?>25@E=>AB8 B5?;>2>9 87>;OF88 2 >:@C60NI89 2>74CE (?@8 ?@>:;04:5 2 :0=0;0E  EMBED Equation.DSMT4  = 8; ?@8 ?@>:;04:5 2 B5E?>4?>;LOE 8 B>==5;OE  EMBED Equation.DSMT4 = 11 , ?@8 =0475<=>9 ?@>:;04:5  EMBED Equation.DSMT4 = 29) ; d  =0@C6=K9 480<5B@ B@C1>?@>2>40, <;  EMBED Equation.DSMT4 - B5@<8G5A:>5 A>?@>B82;5=85 ?>25@E=>AB8 :0=0;0, >?@545;O5<>5 ?> D>@<C;5:  EMBED Equation.3  (74) 745AL  EMBED Equation.DSMT4  - :>MDD8F85=B B5?;>>B40G8 >B 2>74CE0 : 2=CB@5==59 ?>25@E=>AB8 :0=0;0 ( EMBED Equation.DSMT4 = 8 B/(< !)); F - 2=CB@5==55 A5G5=85 :0=0;0, <2; P - ?5@8<5B@ AB>@>= ?> 2=CB@5==8< @07<5@0<, <;  EMBED Equation.DSMT4  - B5@<8G5A:>5 A>?@>B82;5=85 AB5=:8 :0=0;0, >?@545;O5<>5 ?> D>@<C;5: EMBED Equation.3, (75) 745AL  EMBED Equation.DSMT4  - B5?;>?@>2>4=>ABL AB5=:8 :0=0;0 (4;O 65;57>15B>=0  EMBED Equation.DSMT4 = 2,04 B/(<!));  EMBED Equation.DSMT4  - =0@C6=K9 M:2820;5=B=K9 480<5B@ :0=0;0, >?@545;O5<K9 ?> =0@C6=K< @07<5@0< :0=0;0, <;  EMBED Equation.DSMT4  - B5@<8G5A:>5 A>?@>B82;5=85 3@C=B0, >?@545;O5<>5 ?> D>@<C;5: EMBED Equation.3, (76) 745AL  EMBED Equation.DSMT4  - B5?;>?@>2>4=>ABL 3@C=B0, 7028AOI0O >B 53> AB@C:BC@K 8 2;06=>AB8 (?@8 >BACBAB288 40==KE 53> 7=0G5=85 <>6=> ?@8=8<0BL 4;O 2;06=KE 3@C=B>2  EMBED Equation.DSMT4 = 2-2,5 B/(<!), 4;O ACE8E 3@C=B>2  EMBED Equation.DSMT4 = 1,0-1,5 B/(<!)); h - 3;C18=0 70;>65=8O >A8 B5?;>?@>2>40 >B ?>25@E=>AB8 75<;8, <;  EMBED Equation.DSMT4  - 4>102>G=>5 B5@<8G5A:>5 A>?@>B82;5=85, CG8BK20NI55 2708<=>5 2;8O=85 B@C1 ?@8 15A:0=0;L=>9 ?@>:;04:5, 25;8G8=C :>B>@>3> >?@545;ONB ?> D>@<C;0<: 4;O ?>40NI53> B@C1>?@>2>40 EMBED Equation.3 (77) 4;O >1@0B=>3> B@C1>?@>2>40 EMBED Equation.3 (78) 345 h - 3;C18=0 70;>65=8O >A59 B@C1>?@>2>4>2, <; b - @0AAB>O=85 <564C >AO<8 B@C1>?@>2>4>2, <, ?@8=8<05<>5 2 7028A8<>AB8 >B 8E 480<5B@>2 CA;>2=>3> ?@>E>40 ?> 40==>9 B01;8F5: "01;8F0 !3. 0AAB>O=85 <564C >AO<8 B@C1>?@>2>4>2 dC, <<50-80100125-150200250300350400450500600700b, <<350400500550600650700600900100013001400  EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4  - :>MDD8F85=BK, CG8BK20NI85 2708<=>5 2;8O=85 B5<?5@0BC@=KE ?>;59 A>A54=8E B5?;>?@>2>4>2, >?@545;O5<K5 ?> D>@<C;0<:  EMBED Equation.DSMT4  (79)  EMBED Equation.DSMT4  (80) 745AL  EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4  - =>@<8@>20==K5 ;8=59=K5 ?;>B=>AB8 B5?;>2KE ?>B>:>2 A>>B25BAB25==> 4;O ?>40NI53> 8 >1@0B=>3> B@C1>?@>2>4>2, B/<. 9. 0AG5B 8 ?>41>@ :><?5=A0B>@>2  B5?;>2KE A5BOE H8@>:> ?@8<5=ONBAO A0;L=8:>2K5,  - >1@07=K5 8 A8;LD>==K5 (2>;=8ABK5) :><?5=A0B>@K. ><?5=A0B>@K 4>;6=K 8<5BL 4>AB0B>G=CN :><?5=A8@CNICN A?>A>1=>ABL  EMBED Equation.DSMT4  4;O 2>A?@8OB8O B5<?5@0BC@=>3> C4;8=5=8O CG0AB:0 B@C1>?@>2>40 <564C =5?>4286=K<8 >?>@0<8, ?@8 MB>< <0:A8<0;L=K5 =0?@O65=8O 2 @0480;L=KE :><?5=A0B>@0E =5 4>;6=K ?@52KH0BL 4>?CA:05<KE (>1KG=> 110 0). "5?;>2>5 C4;8=5=85 @0AG5B=>3> CG0AB:0 B@C1>?@>2>40  EMBED Equation.DSMT4 , <<, >?@545;ONB ?> D>@<C;5:  EMBED Equation.DSMT4  (81) 345  EMBED Equation.DSMT4  - A@54=89 :>MDD8F85=B ;8=59=>3> @0AH8@5=8O AB0;8, EMBED Equation.3  (4;O B8?>2KE @0AG5B>2 <>6=> ?@8=OBL  EMBED Equation.3 ),  EMBED Equation.DSMT4  - @0AG5B=K9 ?5@5?04 B5<?5@0BC@, >?@545;O5<K9 ?> D>@<C;5  EMBED Equation.3  (82) 345  EMBED Equation.DSMT4  - @0AG5B=0O B5<?5@0BC@0 B5?;>=>A8B5;O, >!;  EMBED Equation.3  - @0AG5B=0O B5<?5@0BC@0 =0@C6=>3> 2>74CE0 4;O ?@>5:B8@>20=8O >B>?;5=8O, >!; L - @0AAB>O=85 <564C =5?>4286=K<8 >?>@0<8, < (A<. ?@8;>65=85 !17). ><?5=A8@CNICN A?>A>1=>ABL A0;L=8:>2KE :><?5=A0B>@>2 C<5=LH0NB =0 25;8G8=C 70?0A0 - 50 <<. 50:F8O A0;L=8:>2>3> :><?5=A0B>@0 - A8;0 B@5=8O 2 A0;L=8:>2>9 =0182:5  EMBED Equation.DSMT4  >?@545;O5BAO ?> D>@<C;5:  EMBED Equation.DSMT4  (83) 345  EMBED Equation.DSMT4  - @01>G55 402;5=85 B5?;>=>A8B5;O, 0;  EMBED Equation.DSMT4  - 4;8=0 A;>O =0182:8 ?> >A8 A0;L=8:>2>3> :><?5=A0B>@0, <<;  EMBED Equation.DSMT4  - =0@C6=K9 480<5B@ ?0B@C1:0 A0;L=8:>2>3> :><?5=A0B>@0, <;  EMBED Equation.DSMT4  - :>MDD8F85=B B@5=8O =0182:8 > <5B0;;, ?@8=8<05BAO @02=K< 0,15. @8 ?>41>@5 :><?5=A0B>@>2 8E :><?5=A8@CNI0O A?>A>1=>ABL 8 B5E=8G5A:85 ?0@0<5B@K <>3CB 1KBL >?@545;5=K ?> ?@8;>65=8N. A520O @50:F8O A8;LD>==KE :><?5=A0B>@>2  EMBED Equation.DSMT4  A:;04K205BAO 87 42CE A;0305<KE:  EMBED Equation.DSMT4  (84) 345  EMBED Equation.DSMT4  - >A520O @50:F8O, 2K7K205<0O 45D>@<0F859 2>;=, >?@545;O5<0O ?> D>@<C;5:  EMBED Equation.DSMT4  (85) 745AL (l - B5<?5@0BC@=>5 C4;8=5=85 CG0AB:0 B@C1>?@>2>40, <; ( - 65AB:>ABL 2>;=K, /<, ?@8=8<05<0O ?> ?0A?>@BC :><?5=A0B>@0; n - :>;8G5AB2> 2>;= (;8=7).  EMBED Equation.DSMT4  - >A520O @50:F8O >B 2=CB@5==53> 402;5=8O, >?@545;O5<0O ?> D>@<C;5: EMBED Equation.3 (86) 745AL  EMBED Equation.DSMT4  - :>MDD8F85=B, 7028AOI89 >B 35><5B@8G5A:8E @07<5@>2 8 B>;I8=K AB5=:8 2>;=K, @02=K9 2 A@54=5< 0.5 - 0.6; D 8 d  A>>B25BAB25==> =0@C6=K9 8 2=CB@5==89 480<5B@K 2>;=, <;  EMBED Equation.DSMT4  - 871KB>G=>5 402;5=85 B5?;>=>A8B5;O, 0. @8 @0AG5B5 A0<>:><?5=A0F88 >A=>2=>9 7040G59 O2;O5BAO >?@545;5=85 <0:A8<0;L=>3> =0?@O65=8O ( C >A=>20=8O :>@>B:>3> ?;5G0 C3;0 ?>2>@>B0 B@0AAK, :>B>@>5 >?@545;ONB 4;O C3;>2 ?>2>@>B>2 90> ?>EMBED Equation.3D>@<C;5: EMBED Equation.3 (87) 4;O C3;>2 1>;55 90>, B.5. 90+(, ?> D>@<C;5  EMBED Equation.DSMT4  (88) EMBED Equation.3345 (l - C4;8=5=85 :>@>B:>3> ?;5G0, <; l - 4;8=0 :>@>B:>3> ?;5G0, <;  - <>4C;L ?@>4>;L=>9 C?@C3>AB8, @02=K9 2 A@54=5< 4;O AB0;8 2 105 0; d - =0@C6=K9 480<5B@ B@C1K, <;  EMBED Equation.DSMT4  - >B=>H5=85 4;8=K 4;8==>3> ?;5G0 : 4;8=5 :>@>B:>3>. @8 @0AG5B0E C3;>2 =0 A0<>:><?5=A0F8N 25;8G8=0 <0:A8<0;L=>3> =0?@O65=8O ( =5 4>;6=0 ?@52KH0BL [(] = 80 0. @8 @0AAB0=>2:5 =5?>4286=KE >?>@ =0 C3;0E ?>2>@>B>2, 8A?>;L7C5<KE 4;O A0<>:><?5=A0F88, =5>1E>48<> CG8BK20BL, GB> AC<<0 4;8= ?;5G C3;0 <564C >?>@0<8 =5 4>;6=0 1KBL 1>;55 60% >B ?@545;L=>3> @0AAB>O=8O 4;O ?@O<>;8=59=KE CG0AB:>2. !;54C5B CG8BK20BL B0:65, GB> <0:A8<0;L=K9 C3>; ?>2>@>B0, 8A?>;L7C5<K9 4;O A0<>:><?5=A0F88, =5 4>;65= ?@52KH0BL 130>. 10. 0AG5B CA8;89 =0 >?>@K 5@B8:0;L=CN =>@<0B82=CN =03@C7:C =0 ?>4286=CN >?>@C Fv, , >?@545;ONB ?> D>@<C;5:  EMBED Equation.DSMT4  (89) 345  EMBED Equation.DSMT4  - <0AA0 >4=>3> <5B@0 B@C1>?@>2>40 2 @01>G5< A>AB>O=88 2:;NG0NI89 25A B@C1K, B5?;>87>;OF8>==>9 :>=AB@C:F88 8 2>4K, /<; L - ?@>;5B <564C ?>4286=K<8 >?>@0<8, <. 5;8G8=0  EMBED Equation.DSMT4  4;O B@C1 A =0@C6=K< 480<5B@><  EMBED Equation.DSMT4  <>65B 1KBL ?@8=OB0 ?> B01;. 4 <5B>48G5A:>3> ?>A>18O: "01;8F0 !4  0AA0 1 < B@C1>?@>2>40 2 @01>G5< A>AB>O=88  EMBED Equation.DSMT4 , <<3845577689108133159194219273325 EMBED Equation.DSMT4 , /<698112817021528339951367686012411670  EMBED Equation.DSMT4 , <<377426480530630720820920102012201420 EMBED Equation.DSMT4 , /<22262482300936114786623077359704117671617722134 @>;5BK <564C ?>4286=K<8 >?>@0<8 2 7028A8<>AB8 >B CA;>289 ?@>:;04:8 8 B8?>2 :><?5=A0B>@>2 ?@82545=K 2 B01;8F0E 5, 6 <5B>48G5A:>3> ?>A>18O. "01;8F0 !5 - @>;5BK <564C ?>4286=K<8 >?>@0<8 =0 15B>==KE ?>4CH:0E ?@8 :0=0;L=>9 ?@>:;04:5. DC, <<L, <DC, <<L, <DC, <<L, <<DC, <<L, <251,7803,5200645093221004250750010402,51254,5300860010503150535087001070317564008,580010 "01;8F0 !6 - @>;5BK <564C ?>4286=K<8 >?>@0<8 ?@8 =0475<=>9 ?@>:;04:5, 0 B0:65 2 B>==5;OE 8 B5E?>4?>;LOE. DC, <<L, <DC, <<L, <DC, <<L, <2521256/640014/133221507/745014/13402,51758/850014/135032009/960015/13703,525011/1170015/1380430012/1280016/131005/535014/1490018/15100020/16 @8<5G0=85: 2 G8A;8B5;5 L 4;O ->1@07=KE :><?5=A0B>@>2 8 A0<>:><?5=A0F88, 2 7=0<5=0B5;5 - 4;O A0;L=8:>2KE :><?5=A0B>@>2. >@87>=B0;L=K5 =>@<0B82=K5 >A52K5 =03@C7:8 =0 ?>4286=K5 >?>@K Fhx, , >B B@5=8O >?@545;ONBAO ?> D>@<C;5:  EMBED Equation.DSMT4  (90) 345  EMBED Equation.DSMT4  - :>MDD8F85=B B@5=8O 2 >?>@0E, :>B>@K9 4;O A:>;L7OI8E >?>@ ?@8 B@5=88 AB0;L > AB0;L ?@8=8<0NB @02=K< 0,3 (?@8 8A?>;L7>20=88 DB>@>?;0AB>2KE ?@>:;04>:  EMBED Equation.DSMT4 = 0,1), 4;O :0B:>2KE 8 H0@8:>2KE >?>@  EMBED Equation.DSMT4 = 0,1. @8 >?@545;5=88 =>@<0B82=>9 3>@87>=B0;L=>9 =03@C7:8 =0 =5?>4286=CN >?>@C A;54C5B CG8BK20BL: =5C@02=>25H5==K5 A8;K 2=CB@5==53> 402;5=8O ?@8 ?@8<5=5=88 A0;L=8:>2KE :><?5=A0B>@>2, =0 CG0AB:0E 8<5NI8E 70?>@=CN 0@<0BC@C, ?5@5E>4K, C3;K ?>2>@>B0, 703;CH:8; A;54C5B B0:65 CG8BK20BL A8;K B@5=8O 2 ?>4286=KE >?>@0E 8 A8;K B@5=8O > 3@C=B 4;O 15A:0=0;L=KE ?@>:;04>:, 0 B0:65 @50:F88 :><?5=A0B>@>2 8 A0<>:><?5=A0F88. >@87>=B0;L=CN >A52CN =03@C7:C =0 =5?>4286=CN >?>@C A;54C5B >?@545;OBL: =0 :>=F52CN >?>@C - :0: AC<<C A8; 459AB2CNI8E =0 >?>@C; =0 ?@><56CB>G=CN >?>@C - :0: @07=>ABL AC<< A8; 459AB2CNI8E A :064>9 AB>@>=K >?>@K. 5?>4286=K5 >?>@K 4>;6=K @0AAG8BK20BLAO =0 =081>;LHCN 3>@87>=B0;L=CN =03@C7:C ?@8 @07;8G=KE @568<0E @01>BK B@C1>?@>2>4>2 (>E;0645=85, =03@52) 2 B>< G8A;5 ?@8 >B:@KBKE 8 70:@KBKE 704286:0E. ;O @0AG5B0 CA8;89 459AB2CNI8E =0 =5?>4286=K5 >?>@K <>3CB 1KBL 8A?>;L7>20=K B8?>2K5 @0AG5B=K5 AE5<K, ?@82545==K5 2 ;8B5@0BC@5 [5. AB@.172-173], [7.AB@.230-242]. 11. >41>@ >A=>2=>3> 8 2A?><>30B5;L=>3> >1>@C4>20=8O 12.1. >41>@ ?0@>2KE :>B;>2. >41>@ ?0@>2KE :>B;>2 ?@>872>48BAO =0 >A=>20=88 8E >4=>B8?=>AB8, ?> B5E=8G5A:8< ?0@0<5B@0< ?0@0 (?> ?@8;>65=8N!25). 12.2. >41>@ M;520B>@0. "@51C5<K9 @0A?>;0305<K9 =0?>@ 4;O @01>BK M;520B>@0  EMBED Equation.DSMT4 , < >?@545;O5BAO ?> D>@<C;5:  EMBED Equation.DSMT4  (91) 345 h - ?>B5@8 =0?>@0 2 A8AB5<5 >B>?;5=8O, ?@8=8<05<K5 1,5-2<; Up - @0AG5B=K9 :>MDD8F85=B A<5H5=8O, >?@545;O5<K9 ?> D>@<C;5:  EMBED Equation.DSMT4  (92) 0AG5B=K9 :>MDD8F85=B A<5H5=8O 4;O B5<?5@0BC@=>3> 3@0D8:0 150-70 @025=  EMBED Equation.DSMT4 = 2,2; 4;O 3@0D8:0 140-70  EMBED Equation.DSMT4 = 1,8; 4;O 3@0D8:0 130-70  EMBED Equation.DSMT4 = 1,4. 80<5B@ 3>@;>28=K :0<5@K A<5H5=8O M;520B>@0 d3, <<, ?@8 8725AB=>< @0AE>45 A5B52>9 2>4K =0 >B>?;5=85 G, B/G, >?@545;O5BAO ?> D>@<C;5:  EMBED Equation.DSMT4  (93) 80<5B@ A>?;0 M;520B>@0 dc, <<, ?@8 8725AB=>< @0AE>45 A5B52>9 2>4K =0 >B>?;5=85 G, B/G, 8 @0A?>;0305<>< =0?>@5 4;O M;520B>@0  EMBED Equation.3 , <, >?@545;O5BAO ?> D>@<C;5: EMBED Equation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d, <, 4;O A?CA:0 2>4K 87 A5:F8>=8@C5<>3> CG0AB:0 B@C1>?@>2>40 >?@545;ONB ?> D>@<C;5:  EMBED Equation.3  (95) 345  EMBED Equation.3 - >1I0O 4;8=0 B@C1>?@>2>40  EMBED Equation.DSMT4  - 4;8=K >B45;L=KE CG0AB:>2 B@C1>?@>2>40, <, A CA;>2=K<8 480<5B@0<8  EMBED Equation.DSMT4 , <, ?@8 C:;>=0E  EMBED Equation.DSMT4 ; m - :>MDD8F85=B @0AE>40 0@<0BC@K, ?@8=8<05<K9 4;O 25=B8;59 m = 0,0144, 4;O 7042865: m = 0,011; n - :>MDD8F85=B, 7028AOI89 >B 2@5<5=8 A?CA:0 2>4K t (A<. B01;8FC !7). "01;8F0 !7. =0G5=8O :>MDD8F85=B0 n . t = 1 Gt = 2 Gt = 3 Gt = 4 Gt = 5 Gn = 1n = 0,72n = 0,58n = 0,5n = 0,45 0:A8<0;L=>5 2@5<O A?CA:0 2>4K ?@54CA<0B@8205BAO 4;O B@C1>?@>2>4>2:  EMBED Equation.DSMT4 300 << - =5 1>;55 2 G  EMBED Equation.DSMT4 350 ( 500 - =5 1>;55 4 G  EMBED Equation.DSMT4 600 - =5 1>;55 5 G 80<5B@ A?CA:=>3> CAB@>9AB20 4;O 42CAB>@>==53> 4@5=060, CAB0=>2;5==>3> 2 =86=59 B>G:5 B@C1>?@>2>40, >?@545;ONB ?> D>@<C;5: EMBED Equation.3 (96) 345  EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4  - 480<5B@K A?CA:=KE CAB@>9AB2, >?@545;O5<K5 ?> D>@<C;5 (95) A>>B25BAB25==> 4;O :064>9 AB>@>=K. 0AG5B=K9 480<5B@ HBCF5@0 >:@C3;ONB A C25;8G5=85< 4> AB0=40@B=>3> 8 A@02=820NB A ?@82545==K<8 2 B01;8F5 !8 40==K<8. "01;8F0 !8. #A;>2=K9 ?@>E>4 HBCF5@0 8 70?>@=>9 0@<0BC@K 4;O A?CA:0 2>4K.  EMBED Equation.DSMT4 , <<65 2:;.80-1254> 150200-250300-400500600-700#A;>2=K9 ?@>E>4 HBCF5@0, <<25405080100150200  CAB0=>2:5 ?@8=8<0NB =081>;LH89 87 42CE A@02=8205<KE 480<5B@>2 HBCF5@>2 8 70?>@=>9 0@<0BC@K. #A;>2=K9 ?@>E>4 HBCF5@0 8 70?>@=>9 0@<0BC@K 4;O 2K?CA:0 2>74CE0 87 A5:F8>=8@C5<KE CG0AB:>2 2>4O=KE B5?;>2KE A5B59 ?@82545= 2 B01;8F5 !9. "01;8F0 !9. #A;>2=K9 ?@>E>4 HBCF5@0 8 70?>@=>9 0@<0BC@K 4;O 2K?CA:0 2>74CE0  EMBED Equation.DSMT4 , <<25-80100-150200-300350-400500-700800-1200#A;>2=K9 ?@>E>4 HBCF5@0,<<152025324050@8<5@ 2K?>;=5=8O :C@A>2>9 @01>BK ?@545;5=85 B5?;>2KE ?>B>:>2 =0 >B>?;5=85, 25=B8;OF8N 8 3>@OG55 2>4>A=0165=85 ('0ABL 1). ?@545;8BL 4;O CA;>289 3. %010@>2A:0 @0AG5B=K5 B5?;>2K5 ?>B>:8 =0 >B>?;5=85, 25=B8;OF8N 8 3>@OG55 2>4>A=0165=85 ?OB8 :20@B0;>2 @09>=0 3>@>40 (A<. @8A. 1).         8A.1 - 09>= 3>@>40. 0AG5B=0O B5<?5@0BC@0 =0@C6=>3> 2>74CE0 4;O ?@>5:B8@>20=8O A8AB5< >B>?;5=8O t0 =  31 0!. ;>B=>ABL =0A5;5=8O  = 400 G5;(30. 1I0O ?;>I04L 68;>3> 740=8O =0 >4=>3> 68B5;O (>1I = 18 <2(G5;. !@54=OO 70 >B>?8B5;L=K9 ?5@8>4 =>@<0 @0AE>40 3>@OG59 2>4K =0 >4=>3> 68B5;O 2 ACB:8 0 =115 ;(ACB:8. 5H5=85. 0AG5B B5?;>2KE ?>B>:>2 A2>48< 2 B01;..1.  3@0DK 1, 2, 3 B01;8FK 70=>A8< A>>B25BAB25==> =><5@0 :20@B0;>2, 8E ?;>I04L F:2 2 35:B0@0E, ?;>B=>ABL =0A5;5=8O . >;8G5AB2> 68B5;59 2 :20@B0;0E m, >?@545;O5< ?> D>@<C;5  EMBED Equation.DSMT4  ;O :20@B0;0 !1 :>;8G5AB2> 68B5;59 A>AB028B:  EMBED Equation.DSMT4  G5; 1ICN ?;>I04L 68;KE 740=89 :20@B0;>2  >?@545;O5< ?> D>@<C;5  EMBED Equation.DSMT4  ;O :20@B0;0 !1  EMBED Equation.DSMT4  <2 @8=O2 (A<. ?@8;>65=85 !4) 4;O 740=89 ?>AB@>9:8 ?>A;5 19853 25;8G8=C C45;L=>3> ?>:070B5;O B5?;>2>3> ?>B>:0 =0 >B>?;5=85 68;KE 740=89 q> = 87 B/<2 ?@8 t 0= -31 0!, =0E>48< @0AG5B=K5 B5?;>2K5 ?>B>:8 =0 >B>?;5=85 68;KE 8 >1I5AB25==KE 740=89 :20@B0;>2 ?> D>@<C;5 (1) CG51=>3> ?>A>18O  EMBED Equation.DSMT4  ;O :20@B0;0 !1 ?@8 K1= 0,25 ?>;CG8<  EMBED Equation.DSMT4  0:A8<0;L=K5 B5?;>2K5 ?>B>:8 =0 25=B8;OF8N >1I5AB25==KE 740=89 :20@B0;>2 >?@545;O5< ?> D>@<C;5 (2) CG51=>3> ?>A>18O  EMBED Equation.DSMT4  ;O :20@B0;0 !1 ?@8 2= 0,6 ?>;CG8<  EMBED Equation.DSMT4  > ?@8;>65=8N !5 CG51=>3> ?>A>18O C:@C?=5==K9 ?>:070B5;L B5?;>2>3> ?>B>:0 =0 3>@OG55 2>4>A=0165=85 qh c CG5B>< >1I5AB25==KE 740=89 ?@8 =>@<5 =0 >4=>3> 68B5;O a = 115 ;(ACB:8 A>AB028B 407 B. !@54=5G0A>2K5 B5?;>2K5 ?>B>:8 =0 3>@OG55 2>4>A=0165=85 68;KE 8 >1I5AB25==KE 740=89 :20@B0;>2 >?@545;O5< ?> D>@<C;5 (4) CG51=>3> ?>A>18O  EMBED Equation.DSMT4  ;O :20@B0;0 !1 MB0 25;8G8=0 A>AB028B  EMBED Equation.DSMT4  !C<<0@=K9 B5?;>2>9 ?>B>: ?> :20@B0;0< Q(, >?@545;O5< AC<<8@>20=85< @0AGQB=KE B5?;>2KE ?>B>:>2 =0 >B>?;5=85, 25=B8;OF8N 8 3>@OG55 2>4>A=0165=85  EMBED Equation.DSMT4  ;O :20@B0;0 !1 AC<<0@=K9 B5?;>2>9 ?>B>: A>AB028B  EMBED Equation.DSMT4  =0;>38G=> 2K?>;=O5< @0AGQBK B5?;>2KE ?>B>:>2 8 4;O 4@C38E :20@B0;>2. "01;8F0 1 - 0AGQB B5?;>2KE ?>B>:>2 ! :20@B0;0;>I04L :20@B0;0 F:2, 30;>B=>ABL =0A5;5=8O P G5;/30>;8G5AB2> 68B5;59 m1I0O ?;>I04L, , <2"5?;>2>9 ?>B>:, BQ 0 maxQ v maxQ hmQ (1234567891 2 3 4 510 15 20 10 15400 400 400 400 4004000 6000 8000 4000 600072000 108000 144000 72000 1080007,83 11,745 15,66 7,83 11,7450,94 1,41 1,88 0,94 1,411,628 2,442 3,256 1,628 2,44210,398 15,597 20,796 10,398 15,597 54,86,5811,39672,786 ;O :;8<0B8G5A:8E CA;>289 3. %010@>2A:0 2K?>;=8BL @0AG5B 8 ?>AB@>5=85 3@0D8:>2 G0A>2KE @0AE>4>2 B5?;>BK =0 >B>?;5=85 25=B8;OF8N 8 3>@OG55 2>4>A=0165=85, 0 B0:65 3>4>2KE 3@0D8:>2 B5?;>?>B@51;5=8O ?> ?@>4>;68B5;L=>AB8 B5?;>2>9 =03@C7:8 8 ?> <5AOF0<. 0AGQB=K5 B5?;>2K5 ?>B>:8 @09>=0 3>@>40 =0 >B>?;5=85 Q 0 max = 300 B, =0 25=B8;OF8N Q v max = 35 B, =0 3>@OG55 2>4>A=0165=85 Qhm = 60 B. 0AG5B=0O B5<?5@0BC@0 =0@C6=>3> 2>74CE0 4;O ?@>5:B8@>20=8O A8AB5< >B>?;5=8O t0 = -31 0C. 5H5=85. ?@545;8<, 8A?>;L7CO D>@<C;K ?5@5AG5B0 (10) 8 (11) G0A>2K5 @0AE>4K =0 >B>?;5=85 8 25=B8;OF8N ?@8 B5<?5@0BC@5 =0@C6=>3> 2>74CE0 t== +80!.  EMBED Equation.3   EMBED Equation.3  B;>682 =0 3@0D8:5 (A<. @8A. 2.0) 7=0G5=8O  EMBED Equation.DSMT4  8  EMBED Equation.DSMT4  ?@8 t== +8 0!, 0 B0:65 7=0G5=8O  dfn 8 : < F X Z \ ^ 8 F H J d 2hjvxᡬᡬᖋာᖋhk8uh9sCJaJhk8uh CJaJhk8uh[CJaJhk8uh[CJaJhk8uhJCJaJhk8uCJaJhk8uhOCJaJhk8uh\1:5CJaJhk8uhwjCJaJhk8uh\1:CJaJhk8uh\1:NHaJhk8uh\1:aJ2n$ ~ $ & ( 0 v 8 : < > $dh`a$gdk8u dh`gdk8u$dh`a$gdk8u dh`gdk8u> @ B D F H \ rtvx$dh`a$gdk8u dh`gdk8u$dh`a$gdk8uDz|~ XHJN,BFHX÷⬡÷⡀÷t÷iiihk8uhwjCJaJhk8uh[D5CJaJhk8uh[DCJaJhk8uh CJaJhk8uhaCJaJhk8uhzCJaJhk8uhF| CJaJhk8uhz5CJaJhk8u5CJaJhk8uhJCJaJhk8uh9sCJaJhk8uCJaJhk8uh\1:CJaJhk8uh[CJaJ) bFHH&!##$dh`a$gdk8u$dh`a$gdk8uX&rt ( r @!r!t!!j""######$$8%<%&"&&&^'b'*)))) *++J+++j6l6Խzhk8uhhnCJaJhk8uh-.CJaJhk8uhWCJaJhk8uhjCJaJhk8uh]CJaJhk8uh]5CJaJhk8uhz5CJaJhk8uh[DCJaJhk8uh CJaJhk8uh CJaJhk8uhwjCJaJhk8uhzCJaJ0##8%&&^'()++,-L.$ & F -@dh^`a$gdk8u$ & F dh^`a$gdk8u$ & F -@dh^`a$gdk8u$ dh`a$gdk8u$ dh`a$gdk8u L.>//0Z1 22hJ$ & F -dh^`a$gdk8u$ & F -dh^`a$gdk8u$ & F -dh^`a$gdk8u$ & F -dh^`a$gdk8u$ & F -dh^`a$gdk8u$ & F -dh^`a$gdk8u223^4 555kM$ & F -dh^`a$gdk8u$ & F -@dh^`a$gdk8u$ & F -dh^`a$gdk8u$ & F -dh^`a$gdk8u$ & F -@dh^`a$gdk8u$ & F -dh^`a$gdk8u5j6l6667 >?~@:AABCNCCvD E$ & F e@dh^`a$gdk8u$ dh`a$gdk8u$ dh`a$gdk8u$ dh`a$gdk8u$ & F -dh^`a$gdk8ul6666666.@0@|@HHHPH`HbHdH@IBIDIjIlInIpIIIIźś礓łn[Ljhk8uhhnCJUaJ$jhk8uhhn5CJEHUaJ&jA hk8uhhn5CJUVaJ jhk8uhhn5CJUaJhk8uCJaJhk8u5CJaJhk8uhhnCJaJhk8uh fCJaJhk8uhzCJaJhk8uh= CJaJhk8uhF| CJaJhk8uhhn5CJaJhk8uh= 5CJaJhk8uhz5CJaJ EE^FFF:GGHHbHdHtJ4MNNVOPPQR$ dh`a$gdk8u$ dh`a$gdk8u$ & F edh^`a$gdk8u$ dh`a$gdk8uIIIIJJ*J,J.J0JBJDJjJlJnJpJJTLTbTdT^^^°|sg[SGhk8uh 5CJaJhk8uCJaJhk8uhOv5CJaJhk8uhhn5CJaJhk8u5CJaJ!j hk8uhhnCJEHUaJ#j>A hk8uhhnCJUVaJ!jhk8uhhnCJEHUaJ#j A hk8uhhnCJUVaJhk8uhhnCJaJjhk8uhhnCJUaJ!jhk8uhhnCJEHUaJ#jA hk8uhhnCJUVaJRHTJTbTdT,UU.VVWXvYr$ & F rdh^`a$gdk8u & F rdh^`gdk8u$ & F rdh^`a$gdk8u$ dh`a$gdk8u dh`gdk8u$ dh`a$gdk8u vY,ZZR[\]^^^^ ``Raavvvv  % dhgdk8u$ dh`a$gdk8u$ dha$gdk8u$ & F rdh^`a$gdk8u$ & F rdh^`a$gdk8u$ & F rdh^`a$gdk8u ^^ _"_$_&_^_`_b_d_` ` ```H`J`L`N``````````NaPaRaTa̺̺̪̺n̺̪̺P̺̪:jhk8uh#=>*B*CJUaJmHnHphu:j}hk8uh#=>*B*CJUaJmHnHphu:jhk8uh#=>*B*CJUaJmHnHphuhk8uhDCJaJmHnHu#hk8uhD0JCJaJmHnHu,jhk8uhD0JCJUaJmHnHuhk8uh 5CJaJ jhk8uh 5CJUaJTaVaaaaaaaaaab b"b$bbbbbbbbbb0c2c4c6c8cpcrcݨ튨ݨlݨ:jq hk8uh#=>*B*CJUaJmHnHphu:j hk8uh#=>*B*CJUaJmHnHphu,jhk8uhD0JCJUaJmHnHu:jw hk8uh#=>*B*CJUaJmHnHphuhk8uhDCJaJmHnHu#hk8uhD0JCJaJmHnHuab4ccVddVeffffgg jtjjklll$dh`a$gdk8u dh`gdk8u$dh`a$gdk8u$dh`a$gdk8u$ dha$gdk8u  % dhgdk8urctcvccccccdd d dRdTdVdXdZddddddddddeeeeRe˹˩˹˹˩˹m˹˩˹O˹:je hk8uh#=>*B*CJUaJmHnHphu:j hk8uh#=>*B*CJUaJmHnHphu:jk hk8uh#=>*B*CJUaJmHnHphuhk8uhDCJaJmHnHu#hk8uhD0JCJaJmHnHu,jhk8uhD0JCJUaJmHnHu:j hk8uh#=>*B*CJUaJmHnHphuReTeVeXeZeeeeefffff@fBfDfFfffffffffffffffǩNjm^Shk8uh CJaJjhk8uh CJUaJ:j hk8uh#=>*B*CJUaJmHnHphu:j_ hk8uh#=>*B*CJUaJmHnHphu:j hk8uh#=>*B*CJUaJmHnHphu#hk8uhD0JCJaJmHnHuhk8uhDCJaJmHnHu,jhk8uhD0JCJUaJmHnHuffLgNgggggggghhhhLhNhPhVh8i:iii 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jShk8uh=6CJH*hk8uh=6CJH*mH sH hk8uh=6CJmH sH %## kd<<$$Ifl h ()[!%<LL0$$$$4 lal################$$$"$,$8$F$T$`$n$x$$$"dh$If`"a$gdk8u$$$$$$$$$$$% %%&%4%B%P%^%$"dh$If`"a$gdk8u^%`% kd=$$Ifl h ()[!%<LL0$$$$4 lal`%b%p%z%%%%Fkd ?$$Iflr()[!%(LL04 lal$"dh$If`"a$gdk8u%%Z)\)***FvLNV$dh$Ifa$gdk8u$dh`a$gdk8u$dh`a$gdk8u dh`gdk8u \)l)))))))l*n*p*x*z*************H+J+x+쫡쫡p_Rjhk8uh~UaJ jChk8uhKEHH*UaJjpkI hk8uhKUVaJ j#@hk8uhKEHH*UaJjjI hk8uhKUVaJhk8uhKH*aJjhk8uhKH*UaJhk8uh~H*aJhk8uh~H*aJhk8uh~6aJhk8uh~NHaJhk8uhKaJhk8uh~aJhk8uh~5aJx+z+|+~++++++++++++++,,.028:hjůŖłŀj[E*j_Z@ hk8uh~UVaJmHnHujKhk8uh~EHUaJ*jFZ@ hk8uh~UVaJmHnHuUhk8uh~H*aJhk8uh~H*aJhk8uh~6aJjkIhk8uh~EHUaJ*j&Z@ hk8uh~UVaJmHnHuhk8uh~aJjhk8uh~UaJjFhk8uh~EHUaJ*jZ@ hk8uh~UVaJmHnHuEMBED Equation.DSMT4  8  EMBED Equation.DSMT4  ?@8 t== t0 = -31 0C 8 A>548=82 8E ?@O<>9, ?>;CG8< 3@0D8:8  EMBED Equation.DSMT4 = f (t=) 8  EMBED Equation.DSMT4 = f (t=). ;O ?>AB@>5=8O G0A>2>3> 3@0D8:0 @0AE>40 B5?;>BK =0 3>@OG55 2>4>A=0165=85, >?@545;8<, 8A?>;L7CO D>@<C;C ?5@5AGQB0 (12), A@54=5G0A>2>9 @0AE>4 B5?;>BK =0 3>@OG55 2>4>A=0165=85 4;O =5>B>?8B5;L=>3> ?5@8>40  EMBED Equation.DSMT4 .  EMBED Equation.3  @0D8: A@54=5G0A>2>3> @0AE>40 B5?;>BK =0 3>@OG55 2>4>A=0165=85 =5 7028A8B >B B5<?5@0BC@K =0@C6=>3> 2>74CE0, 8 1C45B ?@54AB02;OBL A>1>9 ?@O<CN, ?0@0;;5;L=CN >A8 01AF8AA A >@48=0B>9 60 B 4;O >B>?8B5;L=>3> ?5@8>40 8 A >@48=0B>9 38,4 B 4;O =5>B>?8B5;L=>3> ?5@8>40. @>AC<<8@>202 >@48=0BK G0A>2KE 3@0D8:>2 =0 >B>?;5=85, 25=B8;OF8N 8 3>@OG55 2>4>A=0165=85 4;O 480?07>=0 B5<?5@0BC@ t= = +8 ( -31 0C 8 A>548=82 8E ?@O<>9 ?>;CG8< AC<<0@=K9 G0A>2>9 3@0D8:  EMBED Equation.DSMT4 . ;O ?>AB@>5=8O 3>4>2>3> 3@0D8:0 B5?;>BK ?> ?@>4>;68B5;L=>AB8 B5?;>2>9 =03@C7:8 =0E>48< ?@>4>;68B5;L=>AB8 AB>O=8O B5<?5@0BC@ =0@C6=>3> 2>74CE0 2 G0A0E A 8=B5@20;>< 50C 8 ?@>4>;68B5;L=>ABL >B>?8B5;L=>3> ?5@8>40 4;O 3. %010@>2A:0 n0 = 4920 G. 0==K5 A2>48< 2 B01;8FC !2. "01;8F0 2 - @>4>;68B5;L=>ABL AB>O=8O B5<?5@0BC@ =0@C6=>3> 2>74CE0 @>4>;68B5;L=>ABL AB>O=8O, n, G0A"5<?5@0BC@0 =0@C6=>3> 2>74CE0-40 -35-35 -30-30 -25-25 -20-20 -15-15 -10-10 -5-5 00 +5+5 +8n247275630800666596561583760"5<?5@0 BC@K-35 8 =865-30 8 =865-25 8 =865-20 8 =865-15 8 =865-10 8 =865-5 8 =8650 8 =865+5 8 =865+8 8 =865(n249324954175424203016357741604920 @0D8: ?> ?@>4>;68B5;L=>AB8 B5?;>2>9 =03@C7:8 (A<. @8A. 2 1) AB@>8BAO =0 >A=>20=88 AC<<0@=>3> G0A>2>3> 3@0D8:0  EMBED Equation.DSMT4 . ;O MB>3> 87 B>G5: =0 >A8 B5<?5@0BC@ (+8, 0, -10, -20, -30) 2>AAB0=02;8205< ?5@?5=48:C;O@K 4> ?5@5A5G5=8O A ;8=859 AC<<0@=>3> G0A>2>3> 3@0D8:0 8 87 B>G5: ?5@5A5G5=8O ?@>2>48< 3>@87>=B0;L=K5 ?@O<K5 4> ?5@5A5G5=8O A ?5@?5=48:C;O@0<8, 2>AAB0=>2;5==K<8 87 B>G5: =0 >A8 ?@>4>;68B5;L=>AB8, A>>B25BAB2CNI8E 40==K< B5<?5@0BC@0<. !>548=82 =0945==K5 B>G:8 ?;02=>9 :@82>9, ?>;CG8< 3@0D8: ?> ?@>4>;68B5;L=>AB8 B5?;>2>9 =03@C7:8 70 >B>?8B5;L=K9 ?5@8>4 2 B5G5=85 4920 G0A>2. 0B5< ?>AB@>8< 3@0D8: ?> ?@>4>;68B5;L=>AB8 B5?;>2>9 =03@C7:8 70 =5>B>?8B5;L=K9 ?5@8>4, 4;O G53> ?@>2545< ?@O<CN ?0@0;;5;L=CN >A8 01AF8AA A >@48=0B>9 @02=>9 EMBED Equation.DSMT4= 38,4 B 4> @0AG5B=>9 ?@>4>;68B5;L=>AB8 @01>BK A8AB5<K B5?;>A=0165=8O 2 3>4C @02=>9 8400 G0A>2.  EMBED AutoCAD.Drawing.15  8A.2 0 - G0A>2K5 3@0D8:8 B5?;>2>3> ?>B@51;5=8O 1 - 3>4>2>9 3@0D8: ?> ?@>4>;68B5;L=>AB8 B5?;>2>9 =03@C7:8 ;O ?>AB@>5=8O 3>4>2>3> 3@0D8:0 B5?;>2>3> ?>B@51;5=8O ?> <5AOF0< =0E>48< A@54=5<5AOG=K5 B5<?5@0BC@K =0@C6=>3> 2>74CE0. 0B5<, 8A?>;L7CO D>@<C;K ?5@5AG5B0 (10) 8 (11) >?@545;8< G0A>2K5 @0AE>4K B5?;>BK =0 >B>?;5=85 8 25=B8;OF8N 4;O :064>3> <5AOF0 A> A@54=5<5AOG=>9 B5<?5@0BC@>9 =865 +8 0C. ?@545;8< AC<<0@=K5 @0AE>4K B5?;>BK 4;O <5AOF52 >B>?8B5;L=>3> ?5@8>40 :0: AC<<C G0A>2KE @0AE>4>2 =0 >B>?;5=85, 25=B8;OF8N 8 3>@OG55 2>4>A=0165=85. ;O <5AOF52 =5>B>?8B5;L=>3> ?5@8>40 (A EMBED Equation.DSMT4>+8) AC<<0@=K9 @0AE>4 B5?;>BK 1C45B @025= A@54=5G0A>2><C @0AE>4C B5?;>BK =0 3>@OG55 2>4>A=0165=85 EMBED Equation.DSMT4= 38,4 B. K?>;=8< @0AG5BK 4;O O=20@O  EMBED Equation.3   EMBED Equation.3  EMBED Equation.DSMT4 B =0;>38G=> 2K?>;=O5< @0AGQBK 8 4;O 4@C38E <5AOF52 >B>?8B5;L=>3> ?5@8>40. 0AGQBK A254Q< 2 B01;. 3. A?>;L7CO ?>;CG5==K5 40==K5, ?>AB@>8< 3>4>2>9 3@0D8: B5?;>2>3> ?>B@51;5=8O ?> <5AOF0< (A<. @8A 3) "01;8F0 3 - !@54=5G0A>2K5 @0AE>4K B5?;>BK ?> <5AOF0< 3>40 !@54=5G0A>2K5 @0AE>4K B5?;>BK ?> <5AOF0<!@54=5<5AOG=K5 B5<?5@0BC@K =0@C6=>3> 2>74CE0/=$520@B?@09N=LN;L23!5=:B>O15:-22,3-17,2-8,53,111,117,421,12013,94,7-8,1-18,5EMBED Equation.DSMT4237,1207,1155,987,678,2153,5214,7EMBED Equation.DSMT427,724,218,210,29,117,925EMBED Equation.DSMT4EMBED Equation.DSMT46060606038,438,438,438,438,4606060EMBED Equation.DSMT4324,8291,3234,1157,838,438,438,438,438,4147,3231,4299,7  EMBED AutoCAD.Drawing.15  8A. 3. >4>2>9 3@0D8: B5?;>2>3> ?>B@51;5=8O ?> <5AOF0< 0AG5B 8 ?>AB@>5=85 B5<?5@0BC@=>3> 3@0D8:0 @53C;8@>20=8O B5?;>2>9 =03@C7:8 =0 >B>?;5=85. >AB@>8BL 4;O 70:@KB>9 A8AB5<K B5?;>A=0165=8O 3@0D8: F5=B@0;L=>3> :0G5AB25==>3> @53C;8@>20=8O >B?CA:0 B5?;>BK ?> A>2<5I5==>9 =03@C7:5 >B>?;5=8O 8 3>@OG53> 2>4>A=0165=8O (?>2KH5==K9 8;8 A:>@@5:B8@>20==K9 B5<?5@0BC@=K9 3@0D8:). @8=OBL @0AG5B=K5 B5<?5@0BC@K A5B52>9 2>4K 2 ?>40NI59 <038AB@0;8 (1= 130 0! 2 >1@0B=>9 <038AB@0;8 (2= 70 0!, ?>A;5 M;520B>@0 (3= 95 0!. 0AG5B=0O B5<?5@0BC@0 =0@C6=>3> 2>74CE0 4;O ?@>5:B8@>20=8O >B>?;5=8O t=@> = -31 0!. 0AG5B=0O B5<?5@0BC@0 2>74CE0 2=CB@8 ?><5I5=8O t2= 18 0!. 0AG5B=K5 B5?;>2K5 ?>B>:8 ?@8=OBL B5 65. "5<?5@0BC@0 3>@OG59 2>4K 2 A8AB5<0E 3>@OG53> 2>4>A=0165=8O t32 = 60 0!, B5<?5@0BC@0 E>;>4=>9 2>4K tA= 50!. 0;0=A>2K9 :>MDD8F85=B 4;O =03@C7:8 3>@OG53> 2>4>A=0165=8O (1= 1,2. !E5<0 2:;NG5=8O 2>4>?>4>3@520B5;59 A8AB5< 3>@OG53> 2>4>A=0165=8O 42CEABC?5=G0B0O ?>A;54>20B5;L=0O. 5H5=85. @5420@8B5;L=> 2K?>;=8< @0AG5B 8 ?>AB@>5=85 >B>?8B5;L=>-1KB>2>3> 3@0D8:0 B5<?5@0BC@ A B5<?5@0BC@>9 A5B52>9 2>4K 2 ?>40NI5< B@C1>?@>2>45 4;O B>G:8 87;><0 EMBED Equation.DSMT4=70 0!. =0G5=8O B5<?5@0BC@ A5B52>9 2>4K 4;O A8AB5< >B>?;5=8O (01; (02; (03 >?@545;8< 8A?>;L7CO @0AG5B=K5 7028A8<>AB8 (13), (14), (15) 4;O B5<?5@0BC@ =0@C6=>3> 2>74CE0 t== +8; 0; -10; -23; -31 0! ?@545;8<, 8A?>;L7CO D>@<C;K (16),(17),(18), 7=0G5=8O 25;8G8=  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  ;O t= = +8 0! 7=0G5=8O (01, (02 ,(03 A>>B25BAB25==> A>AB02OB:  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  =0;>38G=> 2K?>;=ONBAO @0AG5BK B5<?5@0BC@ A5B52>9 2>4K 8 4;O 4@C38E 7=0G5=89 t=. A?>;L7CO @0AG5B=K5 40==K5 8 ?@8=O2 <8=8<0;L=CN B5<?5@0BC@C A5B52>9 2>4K 2 ?>40NI5< B@C1>?@>2>45  EMBED Equation.3 = 70 0!, ?>AB@>8< >B>?8B5;L=>-1KB>2>9 3@0D8: B5<?5@0BC@ (A<. @8A. 4). ">G:5 87;><0 B5<?5@0BC@=>3> 3@0D8:0 1C4CB A>>B25BAB2>20BL B5<?5@0BC@K A5B52>9 2>4K  EMBED Equation.3 = 70 0!,  EMBED Equation.3 = 44,9 0!,  EMBED Equation.3 = 55,3 0!, B5<?5@0BC@0 =0@C6=>3> 2>74CE0  EMBED Equation.3 = -2,5 0!. >;CG5==K5 7=0G5=8O B5<?5@0BC@ A5B52>9 2>4K 4;O >B>?8B5;L=>-1KB>2>3> 3@0D8:0 A2545< 2 B01;8FC 4. 0;55 ?@8ABC?05< : @0AG5BC ?>2KH5==>3> B5<?5@0BC@=>3> 3@0D8:0. 0402H8AL 25;8G8=>9 =54>3@520 (t== 7 0! >?@545;8< B5<?5@0BC@C =03@5205<>9 2>4>?@>2>4=>9 2>4K  EMBED Equation.3  ?>A;5 2>4>?>4>3@520B5;O ?5@2>9 ABC?5=8  EMBED Equation.3  ?@545;8< ?> D>@<C;5 (19) 10;0=A>2CN =03@C7:C 3>@OG53> 2>4>A=0165=8O  EMBED Equation.DSMT4   EMBED Equation.DSMT4  B > D>@<C;5 (20) >?@545;8< AC<<0@=K9 ?5@5?04 B5<?5@0BC@ A5B52>9 2>4K ( 2 >158E ABC?5=OE 2>4>?>4>3@520B5;59  EMBED Equation.DSMT4  ?@545;8< ?> D>@<C;5 (21) ?5@5?04 B5<?5@0BC@ A5B52>9 2>4K 2 2>4>?>4>3@520B5;5 ?5@2>9 ABC?5=8  EMBED Equation.3  4;O 480?07>=0 B5<?5@0BC@ =0@C6=>3> 2>74CE0 >B t== +8 0! 4> t(= = -2,5 0!  EMBED Equation.DSMT4  ?@545;8< 4;O C:070==>3> 480?07>=0 B5<?5@0BC@ =0@C6=>3> 2>74CE0 ?5@5?04 B5<?5@0BC@ A5B52>9 2>4K 2> 2B>@>9 ABC?5=8 2>4>?>4>3@520B5;O  EMBED Equation.DSMT4   EMBED Equation.DSMT4  ?@545;8< 8A?>;L7CO D>@<C;K (22) 8 (25) 7=0G5=8O 25;8G8= (2 8 (1 4;O 480?07>=0 B5<?5@0BC@ =0@C6=>3> 2>74CE0 t= >B t(= = -2,5 0! 4> t0= -310!. "0:, 4;O t== -10 0! MB8 7=0G5=8O A>AB02OB:  EMBED Equation.3  =0;>38G=> 2K?>;=8< @0AG5BK 25;8G8= (2 8 (1 4;O 7=0G5=89 t== -23 0! 8 t==  31 0!. "5<?5@0BC@K A5B52>9 2>4K  EMBED Equation.DSMT4  8  EMBED Equation.DSMT4  2 ?>40NI5< 8 >1@0B=>< B@C1>?@>2>40E 4;O ?>2KH5==>3> B5<?5@0BC@=>3> 3@0D8:0 >?@545;8< ?> D>@<C;0< (24) 8 (26). "0:, 4;O t== +8 0! 8 t== -2,5 0! MB8 7=0G5=8O A>AB02OB  EMBED Equation.DSMT4   EMBED Equation.DSMT4  4;O t= = -10 0!  EMBED Equation.DSMT4   EMBED Equation.DSMT4  =0;>38G=> 2K?>;=8< @0AG5BK 4;O 7=0G5=89 t= = -23 0! 8 -31 0!. >;CG5==K5 7=0G5=8O 25;8G8= (2, (1,  EMBED Equation.DSMT4 , EMBED Equation.DSMT4 A2545< 2 B01;8FC 4. ;O ?>AB@>5=8O 3@0D8:0 B5<?5@0BC@K A5B52>9 2>4K 2 >1@0B=>< B@C1>?@>2>45 ?>A;5 :0;>@8D5@>2 A8AB5< 25=B8;OF88  EMBED Equation.DSMT4  2 480?07>=5 B5<?5@0BC@ =0@C6=>3> 2>74CE0 t= = +8 ( -2,5 0! 8A?>;L7C5< D>@<C;C (32)  EMBED Equation.3  ?@545;8< 7=0G5=85 (2v 4;O t== +8 0!. @5420@8B5;L=> 704048<AO 7=0G5=85<  EMBED Equation.DSMT4 0!. ?@545;8< B5<?5@0BC@=K5 =0?>@K 2 :0;>@8D5@5  EMBED Equation.DSMT4  8  EMBED Equation.DSMT4  A>>B25BAB25==> 4;O t== +8 0! 8 t== -2,5 0!  EMBED Equation.3   EMBED Equation.3  KG8A;8< ;52K5 8 ?@02K5 G0AB8 C@02=5=8O 520O G0ABL  EMBED Equation.3  @020O G0ABL  EMBED Equation.DSMT4  >A:>;L:C G8A;5==K5 7=0G5=8O ?@02>9 8 ;52>9 G0AB59 C@02=5=8O 1;87:8 ?> 7=0G5=8N (2 ?@545;0E 3%), ?@8<5< 7=0G5=85  EMBED Equation.DSMT4  :0: >:>=G0B5;L=>5. ;O A8AB5< 25=B8;OF88 A @5F8@:C;OF859 2>74CE0 >?@545;8<, 8A?>;L7CO D>@<C;C (34), B5<?5@0BC@C A5B52>9 2>4K ?>A;5 :0;>@8D5@>2 (2v 4;O t== t=@> = -310C.  EMBED Equation.3  45AL 7=0G5=8O (t EMBED Equation.3 ; ( EMBED Equation.3 ; ( EMBED Equation.3  A>>B25BAB2CNB t= = tv= -23 0!. >A:>;L:C 40==>5 2K@065=85 @5H05BAO <5B>4>< ?>41>@0, ?@5420@8B5;L=> 704048<AO 7=0G5=85< (2v = 510!. ?@545;8< 7=0G5=8O (t: 8 (t EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  0;55 2KG8A;8< ;52CN G0ABL 2K@065=8O  EMBED Equation.3   EMBED Equation.3  >A:>;L:C ;520O G0ABL 2K@065=8O 1;87:0 ?> 7=0G5=8N ?@02>9 (0,99(1), ?@8=OB>5 ?@5420@8B5;L=> 7=0G5=85 (2v = 51 0! 1C45< AG8B0BL >:>=G0B5;L=K<. A?>;L7CO 40==K5 B01;8FK 4 ?>AB@>8< >B>?8B5;L=>-1KB>2>9 8 ?>2KH5==K9 B5<?5@0BC@=K5 3@0D8:8 @53C;8@>20=8O (A<. @8A. 4). "01;8F0 4 - 0AG5B B5<?5@0BC@=KE 3@0D8:>2 @53C;8@>20=8O 4;O 70:@KB>9 A8AB5<K B5?;>A=0165=8O. t(10(20(30(1(2(1(2(2V+87044,955,35,98,575,936,417-2,57044,955,35,98,575,936,444,9-1090,2520564,34,210,294,442,352,5-23113,763,584,41,812,5115,65163,5-3113070950,414130,45651  8A.4. "5<?5@0BC@=K5 3@0D8:8 @53C;8@>20=8O 4;O 70:@KB>9 A8AB5<K B5?;>A=0165=8O (( >B>?8B5;L=>-1KB>2>9; --- ?>2KH5==K9) >AB@>8BL 4;O >B:@KB>9 A8AB5<K B5?;>A=0165=8O A:>@@5:B8@>20==>3> (?>2KH5==>3>) 3@0D8:0 F5=B@0;L=>3> :0G5AB25==>3> @53C;8@>20=8O. @8=OBL 10;0=A>2K9 :>MDD8F85=B (1 = 1,1. @8=OBL <8=8<0;L=CN B5<?5@0BC@C A5B52>9 2>4K 2 ?>40NI5< B@C1>?@>2>45 4;O B>G:8 87;><0 B5<?5@0BC@=>3> 3@0D8:0  EMBED Equation.3  0!. AB0;L=K5 8AE>4=K5 40==K5 27OBL 87 ?@54K4CI59 G0AB8. 5H5=85. =0G0;5 AB@>8< 3@0D8:8 B5<?5@0BC@  EMBED Equation.3 , EMBED Equation.3 ,  EMBED Equation.3 , 8A?>;L7CO @0AG5BK ?> D>@<C;0< (13); (14); (15). 0;55 ?>AB@>8< >B>?8B5;L=>-1KB>2>9 3@0D8:, B>G:5 87;><0 :>B>@>3> A>>B25BAB2CNB 7=0G5=8O B5<?5@0BC@ A5B52>9 2>4K  EMBED Equation.3  0!;  EMBED Equation.3  0C;  EMBED Equation.3  0C, 8 B5<?5@0BC@0 =0@C6=>3> 2>74CE0  EMBED Equation.3  0C. 0;55 ?@8ABC?05< : @0AG5BC A:>@@5:B8@>20==>3> 3@0D8:0. ?@545;8< 10;0=A>2CN =03@C7:C 3>@OG53> 2>4>A=0165=8O  EMBED Equation.DSMT4   EMBED Equation.DSMT4  MB ?@545;8< :>MDD8F85=B >B=>H5=8O 10;0=A>2>9 =03@C7:8 =0 3>@OG55 2>4>A=0165=85 : @0AG5B=>9 =03@C7:5 =0 >B>?;5=85  EMBED Equation.DSMT4  EMBED Equation.3 EMBED Equation.2  ;O @O40 B5<?5@0BC@ =0@C6=>3> 2>74CE0 t== +8 0!; -10 0!; -25 0!; -31 0!, >?@545;8< >B=>A8B5;L=K9 @0AE>4 B5?;>BK =0 >B>?;5=85 EMBED Equation.3 ?> D>@<C;5 (29)(; 0?@8<5@ 4;O t== -10 EMBED Equation.3 A>AB028B:  EMBED Equation.3  0B5<, ?@8=O2 8725AB=K5 87 ?@54K4CI59 G0AB8 7=0G5=8O tc; th; (; (t >?@545;8<, 8A?>;L7CO D>@<C;C (30), 4;O :064>3> 7=0G5=8O t= >B=>A8B5;L=K5 @0AE>4K A5B52>9 2>4K =0 >B>?;5=85 EMBED Equation.3. 0?@8<5@, 4;O t== -10 0! EMBED Equation.3 A>AB028B:  EMBED Equation.3  =0;>38G=> 2K?>;=8< @0AG5BK EMBED Equation.3 8 4;O 4@C38E 7=0G5=89 t=. "5<?5@0BC@K A5B52>9 2>4K 2 ?>40NI5< (1? 8 >1@0B=>< (2? B@C1>?@>2>40E 4;O A:>@@5:B8@>20==>3> 3@0D8:0 >?@545;8< ?> D>@<C;0< (27) 8 (28). "0:, 4;O t= = -10 0! ?>;CG8<  EMBED Equation.3   EMBED Equation.3  K?>;=8< @0AG5BK (1? 8 (2? 8 4;O 4@C38E 7=0G5=89 t=. ?@545;8< 8A?>;L7CO @0AG5B=K5 7028A8<>AB8 (32) 8 (34) B5<?5@0BC@K A5B52>9 2>4K (2v ?>A;5 :0;>@8D5@>2 A8AB5< 25=B8;OF88 4;O t== +8 0! 8 t== -31 0! (?@8 =0;8G88 @5F8@:C;OF88). @8 7=0G5=88 t== +8 0! 704048<AO ?@5420@8B5;L=> 25;8G8=>9 (2v= 230C. ?@545;8< 7=0G5=8O (t: 8 (t: EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  0;55 2KG8A;8< ;52CN 8 ?@02CN G0AB8 2K@065=8O  EMBED Equation.3  EMBED Equation.3; EMBED Equation.3 >A:>;L:C G8A;5==K5 7=0G5=8O ;52>9 8 ?@02>9 G0AB59 C@02=5=8O 1;87:8, ?@8=OB>5 ?@5420@8B5;L=> 7=0G5=85 (2v= 230C ,1C45< AG8B0BL >:>=G0B5;L=K<. ?@545;8< B0:65 7=0G5=8O (2v ?@8 t= = t0= -31 0C. 04048<AO ?@5420@8B5;L=> 7=0G5=85< (2v= 470C EMBED Equation.3 KG8A;8< 7=0G5=8O (t: 8  EMBED Equation.2   EMBED Equation.3   EMBED Equation.3   EMBED Equation.2  >;CG5==K5 7=0G5=8O @0AG5B=KE 25;8G8= A2545< 2 B01;8FC 3.5 "01;8F0 5 - 0AG5B ?>2KH5==>3> (A:>@@5:B8@>20==>3>) 3@0D8:0 4;O >B:@KB>9 A8AB5<K B5?;>A=0165=8O. t=(10(20(30(Q0(G0(1?(2?(2v+86040,448,60,20,656439,3231,96040,448,60,330,86439,340,4-1090.252.564.30,590,9587.851.852.5-23113.763.584.40,841,0211363,663.5-31130709511,041307051 A?>;L7CO 40==K5 B01;8FK 5, ?>AB@>8< >B>?8B5;L=>-1KB>2>9, 0 B0:65 ?>2KH5==K9 3@0D8:8 B5<?5@0BC@ A5B52>9 2>4K.  8A.5 B>?8B5;L=> - 1KB>2>9 ( ) 8 ?>2KH5==K9 (----) 3@0D8:8 B5<?5@0BC@ A5B52>9 2>4K 4;O >B:@KB>9 A8AB5<K B5?;>A=0165=8O 84@02;8G5A:89 @0AG5B <038AB@0;L=KE B5?;>?@>2>4>2 42CEB@C1=>9 2>4O=>9 B5?;>2>9 A5B8 70:@KB>9 A8AB5<K B5?;>A=0165=8O. 0AG5B=0O AE5<0 B5?;>A5B8 >B 8AB>G=8:0 B5?;>BK (") 4> :20@B0;>2 3>@>40 () ?@82545=0 =0 @8A.6. ;O :><?5=A0F88 B5<?5@0BC@=KE 45D>@<0F89 ?@54CA<>B@5BL A0;L=8:>2K5 :><?5=A0B>@K. #45;L=K5 ?>B5@8 402;5=8O ?> 3;02=>9 <038AB@0;8 ?@8=OBL 2 @07<5@5 30-80 0/<.  8A.6. 0AG5B=0O AE5<0 <038AB@0;L=>9 B5?;>2>9 A5B8. 5H5=85. 0AG5B 2K?>;=8< 4;O ?>40NI53> B@C1>?@>2>40. @8<5< 70 3;02=CN <038AB@0;L =081>;55 ?@>BO65==CN 8 703@C65==CN 25B2L B5?;>A5B8 >B " 4>  4 (CG0AB:8 1,2,3) 8 ?@8ABC?8< : 55 @0AG5BC. > B01;8F0< 384@02;8G5A:>3> @0AG5B0, ?@82545==K< 2 ;8B5@0BC@5 [6,7], 0 B0:65 2 ?@8;>65=88 !12 CG51=>3> ?>A>18O, =0 >A=>20=88 8725AB=KE @0AE>4>2 B5?;>=>A8B5;O, >@85=B8@COAL =0 C45;L=K5 ?>B5@8 402;5=8O R 2 ?@545;0E >B 30 4> 80 0/<, >?@545;8< 4;O CG0AB:>2 1, 2, 3 480<5B@K B@C1>?@>2>4>2 d=xS, <<, D0:B8G5A:85 C45;L=K5 ?>B5@8 402;5=8O R, 0/<, A:>@>AB8 2>4K V, </A. > 8725AB=K< 480<5B@0< =0 CG0AB:0E 3;02=>9 <038AB@0;8 >?@545;8< AC<<C :>MDD8F85=B>2 <5AB=KE A>?@>B82;5=89 (( 8 8E M:2820;5=B=K5 4;8=K LM. "0:, =0 CG0AB:5 1 8<55BAO 3>;>2=0O 704286:0 (( = 0,5), B@>9=8: =0 ?@>E>4 ?@8 @0745;5=88 ?>B>:0 (( = 1,0), >;8G5AB2> A0;L=8:>2KE :><?5=A0B>@>2 (( = 0,3) =0 CG0AB:5 >?@545;8< 2 7028A8<>AB8 >B 4;8=K CG0AB:0 L 8 <0:A8<0;L=>3> 4>?CAB8<>3> @0AAB>O=8O <564C =5?>4286=K<8 >?>@0<8 l. !>3;0A=> ?@8;>65=8N !17 CG51=>3> ?>A>18O 4;O DC= 600 << MB> @0AAB>O=85 A>AB02;O5B 160 <5B@>2. !;54>20B5;L=>, =0 CG0AB:5 1 4;8=>9 400 < A;54C5B ?@54CA<>B@5BL B@8 A0;L=8:>2KE :><?5=A0B>@0. !C<<0 :>MDD8F85=B>2 <5AB=KE A>?@>B82;5=89 (( =0 40==>< CG0AB:5 A>AB028B (( = 0,5+1,0 + 3 ( 0,3 = 2,4 > ?@8;>65=8N !14 CG51=>3> ?>A>18O (?@8 M= 0,0005<) M:2820;5=B=0O 4;8=0 lM 4;O ( = 1,0 @02=0 32,9 <. -:2820;5=B=0O 4;8=0 CG0AB:0 LM A>AB028B LM= lM ( (( = 32,9 (2,4 = 79 < 0;55 >?@545;8< ?@82545==CN 4;8=C CG0AB:0 L? L?=L + LM= 400 + 79 = 479 < 0B5< >?@545;8< ?>B5@8 402;5=8O (P =0 CG0AB:5 1 (P = R ( L? = 42 ( 479 = 20118 0 =0;>38G=> 2K?>;=8< 384@02;8G5A:89 @0AG5B CG0AB:>2 2 8 3 3;02=>9 <038AB@0;8 (A<. B01;. 6 8 B01;.7). 0;55 ?@8ABC?05< : @0AG5BC >B25B2;5=89. > ?@8=F8?C C2O7:8 ?>B5@8 402;5=8O (P >B B>G:8 45;5=8O ?>B>:>2 4> :>=F52KE B>G5: () 4;O @07;8G=KE 25B259 A8AB5<K 4>;6=K 1KBL @02=K <564C A>1>9. >MB><C ?@8 384@02;8G5A:>< @0AG5B5 >B25B2;5=89 =5>1E>48<> AB@5<8BLAO : 2K?>;=5=8N A;54CNI8E CA;>289: (P4+5 = (P2+3 ; (P6 = (P5 ; (P7 = (P3 AE>4O 87 MB8E CA;>289, =0945< >@85=B8@>2>G=K5 C45;L=K5 ?>B5@8 402;5=8O 4;O >B25B2;5=89. "0:, 4;O >B25B2;5=8O A CG0AB:0<8 4 8 5 ?>;CG8<  EMBED Equation.DSMT4  >MDD8F85=B (, CG8BK20NI89 4>;N ?>B5@L 402;5=8O =0 <5AB=K5 A>?@>B82;5=8O, >?@545;8< ?> D>@<C;5  EMBED Equation.3  B>340  EMBED Equation.DSMT4  0/< @85=B8@COAL =0 R = 69 0/< >?@545;8< ?> B01;8F0< 384@02;8G5A:>3> @0AG5B0 480<5B@K B@C1>?@>2>4>2, C45;L=K5 ?>B5@8 402;5=8O R, A:>@>AB8 V, ?>B5@8 402;5=8O (  =0 CG0AB:0E 4 8 5. =0;>38G=> 2K?>;=8< @0AG5B >B25B2;5=89 6 8 7, >?@545;82 ?@5420@8B5;L=> 4;O =8E >@85=B8@>2>G=K5 7=0G5=8O R.  EMBED Equation.DSMT4  0/<  EMBED Equation.DSMT4  0/< "01;8F0 6 - 0AG5B M:2820;5=B=KE 4;8= <5AB=KE A>?@>B82;5=89 ! CG0AB:0d= E S, <<L, <84 <5AB=>3> A>?@>B82;5=8O(>;-2>((lM ,<LM,<1630x104001. 704286:0 2. A0;L=8:>2K9 :><?5=A0B>@ 3. B@>9=8: =0 ?@>E>4 ?@8 @0745;5=88 ?>B>:00.5 0.3 1.0 1 3 1 2,432,9792480x107501. 2=570?=>5 AC65=85 2. A0;L=8:>2K9 :><?5=A0B>@ 3. B@>9=8: =0 ?@>E>4 ?@8 @0745;5=88 ?>B>:00.5 0.3 1.01 6 13,323,4773426x106001. 2=570?=>5 AC65=85 2. A0;L=8:>2K9 :><?5=A0B>@ 3. 704286:00.5 0.3 0.51 4 12,220,244,44426x105001.B@>9=8: =0 >B25B2;5=85 2. 704286:0 3. A0;L=8:>2K9 :><?5=A0B>@ 4. B@>9=8: =0 ?@>E>41.5 0.5 0.3 1.01 1 4 14.220.2855325x84001. A0;L=8:>2K9 :><?5=A0B>@ 2. 704286:00.3 0.54 11.714246325x83001. B@>9=8: =0 >B25B2;5=85 2. A0;L=8:>2K9 :><?5=A0B>@ 3. 704286:01.5 0.5 0.51 2 23.514497325x82001.B@>9=8: =0 >B25B2;5=85 ?@8 @0745;5=88 ?>B>:0 2.704286:0 3.A0;L=8:>2K9 :><?5=A0B>@1.5 0.5 0.31 2 23.11444 "01;8F0 7 - 84@02;8G5A:89 @0AG5B <038AB@0;L=KE B@C1>?@>2>4>2 ! CG0AB:0G, B/G;8=0, <d=Es, <<V, </AR, 0/<(P, 0((P, 0LLML?1 2 31700 950 500400 750 60079 77 44479 827 644630x10 480x10 426x101.65 1.6 1.3542 55 4520118 45485 2898094583 74465 289804 5750 350500 40085 24585 424426x10 325x81.68 1.3570 6440950 2713668086 27136640030049349325x81.55832896728967745020044244325x81.751052562025620 ?@545;8< =52O7:C ?>B5@L 402;5=8O =0 >B25B2;5=8OE. 52O7:0 =0 >B25B2;5=88 A CG0AB:0<8 4 8 5 A>AB028B:  EMBED Equation.3 52O7:0 =0 >B25B2;5=88 6 A>AB028B:  EMBED Equation.3  52O7:0 =0 >B25B2;5=88 7 A>AB028B:  EMBED Equation.3  >AB@>5=85 ?L57><5B@8G5A:8E 3@0D8:>2 4;O >B>?8B5;L=>3> 8 =5>B>?8B5;L=>3> ?5@8>4>2. 0:A8<0;L=K9 @0AE>4 A5B52>9 2>4K =0 3>@OG55 2>4>A=0165=85 2 =5>B>?8B5;L=K9 ?5@8>4  EMBED Equation.3  ?@8=OBL @02=K< 800 B/G. 0AG5B=K5 B5<?5@0BC@K A5B52>9 2>4K 150-70. -B06=>ABL 740=89 ?@8=OBL 9 MB0659. A5 =5>1E>48<K5 40==K5 ?@8=8<0NBAO 87 ?@54K4CI59 G0AB8. 5H5=85. ;O ?>AB@>5=8O ?L57><5B@8G5A:>3> 3@0D8:0 ?@8<5< <0AHB01K: 25@B8:0;L=K9 2 1:1000 8 3>@87>=B0;L=K9 3 1: 10000. >AB@>8< , 8A?>;L7CO 3>@87>=B0;8 8 4;8=K CG0AB:>2, ?@>4>;L=K5 ?@>D8;8 3;02=>9 <038AB@0;8 ( CG0AB:8 1,2,3 ) 8 >B25B2;5=89 (CG0AB:8 4,5 8 CG0AB>: 7 ). 0 ?@>D8;OE 2 A>>B25BAB2CNI5< <0AHB015 ?>AB@>8< 2KA>BK ?@8A>548=O5<KE 740=89. >4 ?@>D8;5< @0A?>;0305BAO A?@O<;5==0O >4=>;8=59=0O AE5<0 B5?;>A5B8, =><5@0 8 4;8=K CG0AB:>2, @0AE>4K B5?;>=>A8B5;O 8 480<5B@K, @0A?>;0305<K5 =0?>@K. @8=O2 ?@5420@8B5;L=> =0?>@ =0 2A0AK20NI59 AB>@>=5 A5B52KE =0A>A>2 2A = 30 <5B@>2, AB@>8< ;8=8N ?>B5@L =0?>@0 >1@0B=>9 <038AB@0;8 B5?;>A5B8 . @52KH5=85 B>G:8  ?> >B=>H5=8N : B>G:5  1C45B @02=> ?>B5@O< =0?>@0 2 >1@0B=>9 <038AB@0;8 :>B>@K5 2 70:@KBKE A8AB5<0E ?@8=8<0NBAO @02=K<8 ?>B5@O< =0?>@0 2 ?>40NI59 <038AB@0;8 8 A>AB02;ONB 2 40==>< ?@8<5@5 9,5 <5B@>2. 0;55 AB@>8< ;8=8N ! - ;8=8N @0A?>;0305<>3> =0?>@0 4;O A8AB5<K B5?;>A=0165=8O :20@B0;0 ! 4. 0A?>;0305<K9 =0?>@ 2 40==>< ?@8<5@5 ?@8=OB @02=K< 40 <5B@>2. 0B5< AB@>8< ;8=8N ?>B5@L =0?>@0 ?>40NI59 <038AB@0;8 B5?;>A5B8 !. @52KH5=85 B>G:8  ?> >B=>H5=8N : B>G:5 ! @02=> ?>B5@O< =0?>@0 2 ?>40NI59 <038AB@0;8 8 A>AB02;O5B 9,5 <5B@0. 0;55 AB@>8< ;8=8N   ;8=8N ?>B5@L =0?>@0 2 B5?;>D8:0F8>==>< >1>@C4>20=88 8AB>G=8:0 B5?;>BK, :>B>@K5 2 40==>< ?@8<5@5 ?@8=OBK @02=K<8 25 <5B@>2. >;>65=85 ;8=88 AB0B8G5A:>3> =0?>@0 S-S 2K1@0=> 87 CA;>28O =54>?CI5=8O >3>;5=8O, @07402;820=8O 8 2A:8?0=8O B5?;>=>A8B5;O. 0;55 ?@8ABC?05< : ?>AB@>5=8N ?L57><5B@8G5A:>3> 3@0D8:0 4;O =5>B>?8B5;L=>3> ?5@8>40. ?@545;8< 4;O 40==>3> ?5@8>40 ?>B5@8 =0?>@0 2 3;02=>9 <038AB@0;8 EMBED Equation.DSMT4  8A?>;L7CO D>@<C;C ?5@5AG5B0 (63)  EMBED Equation.DSMT4 = 9,5 (  EMBED Equation.DSMT4 = 2,8 < =0;>38G=K5 ?>B5@8 =0?>@0 (2,8 <) ?@8<5< 8 4;O >1@0B=>9 <038AB@0;8. >B5@8 =0?>@0 2 >1>@C4>20=88 8AB>G=8:0 B5?;0, 0 B0:65 @0A?>;0305<K9 =0?>@ 4;O :20@B0;L=>9 B5?;>A5B8 ?@8<5< 0=0;>38G=K<8 GB> 8 4;O >B>?8B5;L=>3> ?5@8>40. A?>;L7CO ?@8<5=5==CN @0=55 <5B>48:C, ?>AB@>8< ?L57><5B@8G5A:89 3@0D8: 4;O =5>B>?8B5;L=>3> ?5@8>40 ( (!(((). >A;5 ?>AB@>5=8O ?L57><5B@8G5A:8E 3@0D8:>2 A;54C5B C1548BLAO, GB> @0A?>;>65=85 8E ;8=89 A>>B25BAB2C5B B@51>20=8O< 4;O @07@01>B:8 384@02;8G5A:8E @568<>2 (A<. @0745; 6 CG51=>3> ?>A>18O ). @8 =5>1E>48<>AB8 =0?>@ =0 2A0AK20NI59 AB>@>=5 A5B52KE =0A>A>2 2A 8, A>>B25BAB25==>, ?>;>65=85 ?L57><5B@8G5A:8E 3@0D8:>2 <>3CB 1KBL 87<5=5=K (70 AG5B 87<5=5=8O =0?>@0 ?>4?8B>G=>3> =0A>A0).  EMBED AutoCAD.Drawing.15  >41>@ A5B52KE 8 ?>4?8B>G=KE =0A>A>2. ;O 70:@KB>9 A8AB5<K B5?;>A=0165=8O @01>B0NI59 ?@8 ?>2KH5==>< 3@0D8:5 @53C;8@>20=8O A AC<<0@=K< B5?;>2K< ?>B>:>< Q = 325 B 8 A @0AG5B=K< @0AE>4>< B5?;>=>A8B5;O G = 3500 B/G ?>4>1@0BL A5B52K5 8 ?>4?8B>G=K5 =0A>AK. >B5@8 =0?>@0 2 B5?;>D8:0F8>==>< >1>@C4>20=88 8AB>G=8:0 B5?;>BK (H8AB= 35 <. !C<<0@=K5 ?>B5@8 =0?>@0 2 ?>40NI59 8 >1@0B=>9 <038AB@0;OE B5?;>2>9 A5B8 (H?>4+(H>1@= 50 <. >B5@8 =0?>@0 2 A8AB5<0E B5?;>?>B@518B5;59 (H01 = 40 <. !B0B8G5A:89 =0?>@ =0 8AB>G=8:5 B5?;>BK HAB= 40 <. >B5@8 =0?>@0 2 ?>4?8B>G=>9 ;8=88 H?;= 15 <. @52KH5=85 >B<5B:8 10:>2 A ?>4?8B>G=>9 2>4>9 ?> >B=>H5=8N : >A8 ?>4?8B>G=KE =0A>A>2 z = 5 <. 5H5=85. "@51C5<K9 =0?>@ A5B52>3> =0A>A0 >?@545;8< ?> D>@<C;5 (62) CG51=>3> ?>A>18O  EMBED Equation.DSMT4  < >40G0 A5B52>3> =0A>A0 GA= 4>;6=0 >15A?5G8BL @0AG5B=K9 @0AE>4 B5?;>=>A8B5;O Gd GA== Gd = 3500 B/G > ?@8;>65=8N !20 <5B>48G5A:>3> ?>A>18O ?@8=8<05< : CAB0=>2:5 ?> ?0@0;;5;L=>9 AE5<5 B@8 @01>G8E 8 >48= @575@2=K9 =0A>AK !- 1250-140 >15A?5G820NI85 B@51C5<K5 ?0@0<5B@K ?@8 =5:>B>@>< 871KB:5 =0?>@0, :>B>@K9 <>65B 1KBL A4@>AA5;8@>20= =0 8AB>G=8:5 B5?;>BK.  =0A>A0 A>AB02;O5B 82%. "@51C5<K9 =0?>@ ?>4?8B>G=>3> =0A>A0 H?= >?@545;O5< ?> D>@<C;5 (66) CG51=>3> ?>A>18O  EMBED Equation.DSMT4  < >40G0 ?>4?8B>G=>3> =0A>A0 G?= 2 70:@KB>9 A8AB5<5 B5?;>A=0165=8O 4>;6=0 :><?5=A8@>20BL CB5G:C B5?;>=>A8B5;O GCB. !>3;0A=> <5B>48G5A:8< C:070=8O< 25;8G8=0 CB5G:8 ?@8=8<05BAO 2 @07<5@5 0,75% >B >1J5<0 A8AB5<K B5?;>A=0165=8O VA8AB. @8 C45;L=>< >1J5<5 A8AB5<K 65 <3/B 8 AC<<0@=>< B5?;>2>< ?>B>:5 Q = 325 B >1J5< A8AB5<K VA8AB A>AB028B VA8AB = 65 ( Q = 65 ( 325 = 21125 <3 5;8G8=0 CB5G:8 GCB A>AB028B GCB = 0,0075 (VA8AB= 0,0075 ( 21125 = 158,5 <3/G > ?@8;>65=8N !21 <5B>48G5A:>3> ?>A>18O ?@8=8<05< : CAB0=>2:5 ?> ?0@0;;5;L=>9 AE5<5 420 @01>G8E 8 >48= @575@2=K9 =0A>AK  90/55 >15A?5G820NI85 B@51C5<K5 ?0@0<5B@K A =51>;LH8< 871KB:>< =0?>@0 (8 <) A  70%. ;O >B:@KB>9 A8AB5<K B5?;>A=0165=8O ?>4>1@0BL A5B52K5 8 ?>4?8B>G=K5 =0A>AK. !@54=5G0A>2>9 @0AE>4 A5B52>9 2>4K =0 3>@OG55 2>4>A=0165=85 2 A8AB5<5 Ghm= 700 B/G. 0:A8<0;L=K9 @0AE>4 A5B52>9 2>4K =0 3>@OG55 2>4>A=0165=85 Ghmax= 1700 B/G. AB0;L=K5 8AE>4=K5 ?@8=OBL 87 ?@8<5@0 3.6. "@51C5<K9 =0?>@ A5B52>3> =0A>A0 HA== 120 <. 5H5=85: "@51C5<CN ?>40GC A5B52>3> =0A>A0 GA= 4;O >B:@KB>9 A8AB5<K >?@545;8< ?> D>@<C;5 (65) CG51=>3> ?>A>18O, B/G. EMBED Equation.3 > ?@8;>65=8N !20 ?@8=8<05< : CAB0=>2:5 G5BK@5 @01>G8E =0A>A0 !- 1250-140 8 >48= @575@2=K9, >15A?5G820NI85 AC<<0@=CN ?>40GC 4480 B/G A =5:>B>@K< 871KB:>< =0?>@0 ?@8  81%. ;O ?>41>@0 ?>4?8B>G=>3> =0A>A0 ?@8 53> B@51C5<>< =0?>@5 H?== 50 <, >?@545;8< 53> ?>40GC ?> D>@<C;5 (68) CG51=>3> ?>A>18O G?= = GCB+Ghmax 5;8G8=0 CB5G:8 ?@8 C45;L=>< >1J5<5 70 <3 =0 1 B B5?;>2>9 <>I=>AB8 A8AB5<K A>AB028B: GCB= 0,0075 (VA8AB= 0,0075 (70 ( Q = 0,0075 (70 (325 = 170,6 <3/G "@51C5<0O ?>40G0 ?>4?8B>G=>3> =0A>A0 G?= A>AB028B G?== GCB + Ghmax= 120,6 + 1700 = 1871 B/G > ?@8;>65=8N !21 ?@8=8<05< : CAB0=>2:5 ?> ?0@0;;5;L=>9 AE5<5 420 @01>G8E 8 >48= @575@2=K9 =0A>AK  1000-40 >15A?5G820NI85 B@51C5<K5 ?0@0<5B@K A  80%. 0AG5B A0<>:><?5=A0F88. ?@545;8BL 873810NI55 =0?@O65=85 >B B5@<8G5A:8E 45D>@<0F89 2 B@C1>?@>2>45 480<5B@>< d= = 159 << C =5?>4286=>9 >?>@K  (@8A.7) ?@8 @0AG5B=>9 B5<?5@0BC@5 B5?;>=>A8B5;O ( = 150 0! 8 B5<?5@0BC@5 >:@C60NI59 A@54K t>= -310!. >4C;L ?@>4>;L=>9 C?@C3>AB8 AB0;8  = 2x105 0, :>MDD8F85=B ;8=59=>3> @0AH8@5=8O ( = 1,25x10-5 1/0C. !@02=8BL A 4>?CA:05<K< =0?@O65=85< (4>?= 80 0  8A.7 5H5=85. ?@545;8< ;8=59=>5 C4;8=5=85 (L1 4;8==>3> ?;5G0 L1 (L1= ( (L1( (( - to) = 1,25x10-5( 45 ( (150 + 31) = 0,102 < @8 ( = 300 8 n = L1/L2 = 3 ?> D>@<C;5 (88) =0E>48< 873810NI55 =0?@O65=85 C >?>@K   EMBED Equation.DSMT4   EMBED Equation.DSMT4  0 >;CG5==>5 873810NI55 =0?@O65=85 ?@52KH05B 4>?CA:05<>5 (4>?= 80 0. !;54>20B5;L=> 40==K9 C3>; ?>2>@>B0 =5 <>65B 1KBL 8A?>;L7>20= 4;O A0<>:><?5=A0F88. 0AG5B B5?;>2>9 87>;OF88. ?@545;8BL ?> =>@<8@C5<>9 ?;>B=>AB8 B5?;>2>3> ?>B>:0 B>;I8=C B5?;>2>9 87>;OF88 4;O 42CEB@C1=>9 B5?;>2>9 A5B8 A d= = 159 <<, ?@>;>65==>9 2 :0=0;5 B8?0  90x45. ;C18=0 70;>65=8O :0=0;0 h: = 1,0 <. !@54=53>4>20O B5<?5@0BC@0 3@C=B0 =0 3;C18=5 70;>65=8O >A8 B@C1>?@>2>4>2 t 0 = 4 0!. "5?;>?@>2>4=>ABL 3@C=B0 (3@= 2,0 B/< 3@04. "5?;>20O 87>;OF8O - <0BK 87 AB5:;O==>3> HB0?5;L=>3> 2>;>:=0 A 70I8B=K< ?>:@KB85< 87 AB5:;>?;0AB8:0 @C;>==>3> !". !@54=53>4>20O B5<?5@0BC@0 B5?;>=>A8B5;O 2 ?>40NI5< B@C1>?@>2>45 (1 = 86 0!, 2 >1@0B=>< (2 = 48 !. 5H5=85. ?@545;8< 2=CB@5==89 d2M 8 =0@C6=K9 d=M M:2820;5=B=K5 480<5B@K :0=0;0 ?> 2=CB@5==8< (0,9(0,45<) 8 =0@C6=K< (1,08(0,61<) @07<5@0< 53> ?>?5@5G=>3> A5G5=8O EMBED Equation.3 EMBED Equation.3 ?@545;8< ?> D>@<C;5 (74) B5@<8G5A:>5 A>?@>B82;5=85 2=CB@5==59 ?>25@E=>AB8 :0=0;0 R?:  EMBED Equation.3  ?@545;8< ?> D>@<C;5 (75) B5@<8G5A:>5 A>?@>B82;5=85 AB5=:8 :0=0;0 R:, ?@8=O2 :>MDD8F85=B B5?;>?@>2>4=>AB8 65;57>15B>=0  EMBED Equation.3 . EMBED Equation.3 ?@545;8< ?> D>@<C;5 (76) ?@8 3;C18=5 70;>65=8O >A8 B@C1 h = 1,3 < 8 B5?;>?@>2>4=>AB8 3@C=B0  EMBED Equation.3  B5@<8G5A:>5 A>?@>B82;5=85 3@C=B0 R3@ EMBED Equation.3=  EMBED Equation.DSMT4  @8=O2 B5<?5@0BC@C ?>25@E=>AB8 B5?;>87>;OF88 40 0!, >?@545;8< A@54=85 B5<?5@0BC@K B5?;>87>;OF8>==KE A;>52 ?>40NI53> tB? 8 >1@0B=>3> tB> B@C1>?@>2>4>2 A>3;0A=>:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  ?@545;8< B0:65 :>MDD8F85=BK B5?;>?@>2>4=>AB8 B5?;>2>9 87>;OF88 (<0B>2 87 AB5:;O==>3> HB0?5;L=>3> 2>;>:=0) 4;O ?>40NI53>  EMBED Equation.DSMT4 , 8 >1@0B=>3>  EMBED Equation.DSMT4 , B@C1>?@>2>4>2:  EMBED Equation.DSMT4 = 0,042 + 0,00028 ( tB?= 0,042 + 0,00028 ( 63 = 0,06 B/( < ( 0!)  EMBED Equation.DSMT4 = 0,042 + 0,00028 ( tB>= 0,042 + 0,00028 ( 44= 0,054 B/( < (0!) ?@545;8< ?> D>@<C;5 (73) B5@<8G5A:>5 A>?@>B82;5=85 ?>25@E=>AB8 B5?;>87>;OF8>==>3> A;>O,  EMBED Equation.DSMT4  ?@8=O2 ?@5420@8B5;L=> B>;I8=C A;>O 87>;OF88 (8= 50 << = 0,05 <  EMBED Equation.DSMT4  @8<5< ?> ?@8;>65=8N !16 <5B>48G5A:>3> ?>A>18O, =>@<8@C5<K5 ;8=59=K5 ?;>B=>AB8 B5?;>2KE ?>B>:>2 4;O ?>40NI53> q11 = 41,6 B/< 8 >1@0B=>3> q12 = 17,8 B/< B@C1>?@>2>4>2. ?@545;8< AC<<0@=K5 B5@<8G5A:85 A>?@>B82;5=8O 4;O ?>40NI53> Rtot,1 8 >1@0B=>3> Rtot,2 B@C1>?@>2>4>2 ?@8 1= 0,8 (A<. ?@8;>65=85 !20)  EMBED Equation.DSMT4  < ( 0!/B  EMBED Equation.DSMT4  < ( 0!/B ?@545;8< :>MDD8F85=BK 2708<=>3> 2;8O=8O B5<?5@0BC@=KE ?>;59 ?>40NI53>  EMBED Equation.3  8 >1@0B=>3>  EMBED Equation.3  B@C1>?@>2>4>2 EMBED Equation.3  EMBED Equation.3  ?@545;8< B@51C5<K5 B5@<8G5A:85 A>?@>B82;5=8O A;>Q2 4;O ?>40NI53> R:? 8 >1@0B=>3> R:> B@C1>?@>2>4>2, < ( 3@04/B  EMBED Equation.DSMT4   EMBED Equation.DSMT4  < (0!/B  EMBED Equation.DSMT4   EMBED Equation.DSMT4  < (0!/B ?@545;8< B@51C5<K5 B>;I8=K A;>52 B5?;>2>9 87>;OF88 4;O ?>40NI53> (:1 8 >1@0B=>3> (:2  EMBED Equation.3   EMBED Equation.3  0AG5B :><?5=A0B>@>2. ?@545;8BL @07<5@K ->1@07=>3> :><?5=A0B>@0 8 53> @50:F8N 4;O CG0AB:0 B@C1>?@>2>40 A 4;8=>9 ?@>;5B0 <564C =5?>4286=K<8 >?>@0<8 L = 100 <. 0AG5B=0O B5<?5@0BC@0 B5?;>=>A8B5;O (1= 150 0!. 0AG5B=0O B5<?5@0BC@0 =0@C6=>3> 2>74CE0 4;O ?@>5:B8@>20=8O A8AB5< >B>?;5=8O t0 = -310!. #G5ABL ?@8 @0AG5B0E ?@5420@8B5;L=CN @0ABO6:C :><?5=A0B>@0. 5H5=85. @8=O2 :>MDD8F85=B B5<?5@0BC@=>3> C4;8=5=8O ( = 1,20(10-2 <</<(0!, >?@545;8< @0AG5B=>5 C4;8=5=85 CG0AB:0 B@C1>?@>2>40 ?> D>@<C;5 (81): (l= ( ( L( ((1 - t0) = 1,20 (10-2 (100 ( (150 + 31) = 218 << 0AG5B=>5 C4;8=5=85 (l@ A CG5B>< ?@5420@8B5;L=>9 @0ABO6:8 :><?5=A0B>@0 A>AB028B (l@= 0,5 ( (l = 0,5 ( 218 = 109 << > ?@8;>65=8N !23, >@85=B8@COAL =0 (lp, ?@8=8<05< ->1@07=K9 :><?5=A0B>@ 8<5NI89 :><?5=A8@CNICN A?>A>1=>ABL (l:= 120 <<, 2K;5B H = 1,8 <, A?8=:C A = 1,56 <. > ?@8;>65=8N !24 >?@545;8< @50:F8N :><?5=A0B>@0  ?@8 7=0G5=88 := 0,72 :/A< 8 (l@= 10,9 A<  = : ( (l@= 0,72 ( 10,9 = 7,85 : 0AG5B CA8;89 2 =5?>4286=KE >?>@0E B5?;>?@>2>40. ?@545;8BL 3>@87>=B0;L=>5 >A52>5 CA8;85 H3> =0 =5?>4286=CN >?>@C . ?@545;8BL 25@B8:0;L=CN =>@<0B82=CN =03@C7:C Fv =0 ?>4286=CN >?>@C. !E5<0 @0AG5B=>3> CG0AB:0 ?@82545=0 =0 @8A.8 "@C1>?@>2>4 A d=xS = 159x6 << ?@>;>65= 2 B5E?>4?>;L5. 5A >4=>3> ?>3>==>3> <5B@0 B@C1>?@>2>40 A 2>4>9 8 87>;OF859 Gh = 513 . 0AAB>O=85 <564C ?>4286=K<8 >?>@0<8 L = 7 <. >MDD8F85=B B@5=8O 2 ?>4286=KE >?>@0E ( = 0,4. 50:F8O :><?5=A0B>@0 P: = 7,85 :. !8;0 C?@C3>9 45D>@<0F88 C3;0 ?>2>@>B0 PE= 0,12 :. 5H5=85. 0AG5B 3>@87>=B0;L=KE CA8;89 H3> =0 >?>@C  4;O @07;8G=KE B5?;>2KE @568<>2 @01>BK B@C1>?@>2>40 2K?>;=8< ?> D>@<C;0< ?@82545==K< 2 (7. AB@.236(: H3>= P:+( (Gh ( L1 0,7 ( ( (Gh ( L2 = 7850 + 0,4 ( 513 ( 50  0,7 ( 0,4 ( 513 ( 30 =13801  H3>= P: +( ( Gh (L2  0,7 (( ( Gh ( L1 = 7850 + 0,4 (513 ( 50  0,7 ( 0,4 ( 513 ( 50 = 6824  H3>=PE+( ( Gh ( L2  0,7 ( (P: + ( ( Gh ( L1) = 120 + 0,4 ( 513 ( 30   0,7 ( (7850 + 0,4 ( 513 ( 50) =  11714  H3>= PE + ( ( Gh ( L1 0,7 ( (P: + ( ( Gh ( L2) = 120 + 0,4 ( 513 ( 50  0,7 ( (7850 + 0,4 ( 513 ( 30) =  3626   :0G5AB25 @0AG5B=>3> CA8;8O ?@8=8<05< =081>;LH55 7=0G5=85 H3>= 13801  =13,801 :. 5@B8:0;L=CN =>@<0B82=CN =03@C7:C =0 ?>4286=CN >?>@C Fv >?@545;8< ?> D>@<C;5 (89) <5B>48G5A:>3> ?>A>18O Fv = Gh ( L = 513 (7 = 3591  = 3,591 :. 0AG5B A?CA:=KE CAB@>9AB2.  ?@545;8BL 480<5B@K A?CA:=KE CAB@>9AB2 (2>74CH=8:>2 8 A?CA:=8:>2) 4;O CG0AB:0 B@C1>?@>2>40, AE5<0 :>B>@>3> ?@82545=0 =0 @8A.9. 5H5=85. #A;>2=K5 ?@>E>4K HBCF5@>2 8 0@<0BC@K 4;O 2K?CA:0 2>74CE0 ?@8=8<05< A>3;0A=> @5:><5=40F8O< 2 <5B>48G5A:8E C:070=8OE. @8 480<5B@0E CA;>2=>3> ?@>E>40 B@C1 B5?;>2KE A5B59 100-150 << 480<5B@ HBCF5@>2 8 0@<0BC@K 4;O 2K?CA:0 2>74CE0 ?@8=8<05BAO @02=K< 20 <<. ;O >?@545;5=8O CA;>2=KE ?@>E>4>2 HBCF5@0 8 0@<0BC@K 4;O 2K?CA:0 2>4K, >?@545;8< 480<5B@K MB8E CAB@>9AB2 4;O :064>9 87 ?@8<K:0NI59 : =86=59 B>G:5 AB>@>= B@C1>?@>2>40. K?>;=8< @0AG5BK 4;O ;52>9 AB>@>=K. ?@545;8< ?@82545==K9 480<5B@ dred ?> D>@<C;5 (95) CG51=>3> ?>A>18O.  EMBED Equation.3  @8=O2 :>MDD8F85=B @0AE>40 4;O 25=B8;O m = 0,0144, :>MDD8F85=B n = 0,72 ?@8 2@5<5=8 >?>@>6=5=8O =5 1>;55 2 G0A>2, >?@545;8< 480<5B@ A?CA:=>3> CAB@>9AB20 4;O ;52>9 AB>@>=K d1  EMBED Equation.3  K?>;=8< 0=0;>38G=K5 @0AG5BK 8 4;O ?@02>9 AB>@>=K. 80<5B@ A?CA:=>3> CAB@>9AB20 4;O ?@02>9 AB>@>=K d2  EMBED Equation.3  ?@545;8< 480<5B@ HBCF5@0 8 70?>@=>9 0@<0BC@K d 4;O >158E AB>@>=  EMBED Equation.3  >A:>;L:C @0AG5B=K9 480<5B@ A?CA:=>3> CAB@>9AB20 d =18 << <5=LH5 @5:><5=4>20==>3> dC=50 << (A<. @5:><5=40F88 2 <5B>48G5A:>< ?>A>188), : CAB0=>2:5 ?@8=8<05< HBCF5@ A =081>;LH8< 480<5B@>< 87 A@02=8205<KE dC=50 <<. >41>@ M;520B>@0. ;O A8AB5<K >B>?;5=8O A @0AG5B=K< @0AE>4>< A5B52>9 2>4K =0 >B>?;5=85 G = 3,75 B/G 8 @0AG5B=K< :>MDD8F85=B>< A<5H5=8O u@ = 2,2, >?@545;8BL 480<5B@ 3>@;>28=K M;520B>@0 8 480<5B@ A>?;0 8AE>4O 87 CA;>28O 30H5=8O 2A53> @0A?>;0305<>3> =0?>@0. >B5@8 =0?>@0 2 A8AB5<5 >B>?;5=8O ?@8 @0AG5B=>< @0AE>45 A<5H0==>9 2>4K h = 1,5 <. 0A?>;0305<K9 =0?>@ 2 B5?;>2>< ?C=:B5 ?5@54 A8AB5<>9 >B>?;5=8O HB?= 25<. 5H5=85. 0AG5B=K9 480<5B@ 3>@;>28=K d3 >?@545;O5BAO ?> D>@<C;5 (93) CG51=>3> ?>A>18O  EMBED Equation.DSMT4  0AG5B=CN 25;8G8=C 480<5B@0 3>@;>28=K >:@C3;O5< 4> AB0=40@B=>3> 480<5B@0 2 AB>@>=C C<5=LH5=8O d3 = 25 <<, GB> A>>B25BAB2C5B ! 3 M;520B>@0. 0A?>;0305<K9 =0?>@ ?5@54 M;520B>@>< H 4;O @0AG5B0 A>?;0 >?@545;O5BAO :0: @07=>ABL @0A?>;0305<>3> =0?>@0 ?5@54 A8AB5<>9 >B>?;5=8O HB? 8 ?>B5@L =0?>@0 2 A8AB5<5 >B>?;5=8O h H = HB?  h = 25 1,5 = 23,5 < 0AG5B=K9 480<5B@ A>?;0 >?@545;O5< ?> D>@<C;5 (94) CG51=>3> ?>A>18O  EMBED Equation.DSMT4  << @8;>65=8O. @8;>65=85 !1. ;8<0B8G5A:85 40==K5 ?> =5:>B>@K< 3>@>40< 1K2H53> !!!  (=0 >A=>20=88 !8..6-72. !B@>8B5;L=0O :;8<0B>;>38O 8 35>D878:0) >@>4B>?8B5;L=K9 ?5@8>45B>@>4>;68-B5;L=>ABL n, ACB"5<?5@0BC@0 2>74CE0,  EMBED Equation.3 "5<?-@0 2>74CE0,  EMBED Equation.3  0AG5B=0O 4;O ?@>5:B8@>20=8OA@54=OO >B>?8B5;L- =>3> ?5@8>40A@54=OO A0<>3> E>- ;>4=>3> <5AOF0 A@54=OO A0<>3> 60@:>3> <5AOF0 A@54=OO 2 13G A0<>3> 60@:>3> <5AOF0>B>?;5=8O  EMBED Equation.3 25=B8;OF88  EMBED Equation.3 2@>?59A:0O G0ABL@E0=35;LA:251-32-19-4,7-12,5+15,6-AB@0E0=L172-22-81,6-6,8+25,3+29,30:C119-4+1+5,1+3,8+25,7-@O=A:206-24-13-2,6-8,5+18,4+22,68;L=NA194-23-9-0,9-5,5+18,0->@>=56199-25-14-3,4-9,3+19,9+24,1>;3>3@04182-22-13-3,4-9,2+24,2+28,6:0B5@8=1C@3228-31-20-6,4-15,3+17,4+21,1;0B>CAB232-30-20-6,6-15,4+16,4+20,620=>2>217-28-16-4,4-11,8+17,4+22,5070=L218-30-18-5,7-13,5+19,0+24,0852187-21-10-1,1-5,9+19,8-8@>2231-31-19-5,8-14,2+17,8+21,98H8=52166-15-7+0,6-3,5+21,5-C@A:198-24-14-3,0-8,6+19,3+23,6C30=A:180-25-10-1,6-6,6+22,3+27,4L2>2183-19-7+0,3-3,9+18,8-03=8B>3>@A:218-34-22-7,9-16,9+18,3+23,60E0G:0;0151-14-2+2,6-0,4+24,7-8=A:203-25-10-1,2-6,9+17,8->A:20205-25-14-3,2-9,4+19,8+21,68GC@8=A:202-26-15-4,3-10,8+20,0+24,5C@<0=A:281-28-18-3,3-10,1+12,4-. >23>@>4218-30-16-4,7-12,0+18,1+21,6. "038;238-34-21-6,6-16,1+16,0+21,5>2>@>AA89A:134-13-2+4,4+2,6+23,7-45AA0165-17-6+1,0-2,5+22,2-@5=1C@3201-29-20-8,1-14,8+21,9+26,9@A:204-29-21-7,9-16,4+21,3+26,35=70206-27-17-5,1-12,1+19,8+24,15@<L226-34-20-6,4-15,1+18,1+21,85B@>702>4A:237-29-14-2,9--- 830205-20-9-0,6-5,0+17,1- >AB>2-=0->=C175-22-8-1,1-5,7+22,9+27,4 O70=L212-27-16-4,2-11,1+18,8+23,0!0<0@0206-27-18-6,1-13,8+20,7+24,2!-5B5@1C@3219-25-11-2,2-7,9+17,8-!0@0B>2198-25-16-5,0-11,9+22,1+25,7!<>;5=A:210-26-13-2,7-8,6+17,6+21,1!B5@;8B0<0:210-36-20-7,1-15,2+19,6+24,6"0;;8==221-21-9-0,8-5,5+16,6-"18;8A8152-70+4,2+0,9+24,4-"C;0207-28-14-3,8-10,1+18,4+22,6#;LO=>2A:213-31-18-5,7-13,8+19,6+23,8#@0;LA:199-30-18-6,5-14,2+22,6+28,4#D0211-29-19-6,4-14,1+19,3+23,4%0@L:>2189-23-11-2,1-7,3+20,8+25,0'5;O18=A:216-29-20-7,1-15,5+18,8+22,8780BA:0O G0ABL:BN18=A:203-31-21-7,3-15,6+22,3-;<0-B0166-25-10-2,1-7,4+23,3-0;E0H190-32-20-6,9-15,2+24,2+27,30@=0C;219-39-23-8,3-17,7+19,7+24,0;0482>AB>:201-25-16-4,8-14,4+20,0-=8A59A:245-47-28-9,8-22+18,4+22,3@:CBA:241-38-25-8,9-20,9+17,6+22,60@030=40212-32-20-7,5-15,1+20,3+25,1@0A=>O@A:235-40-22-7,2-17,1+18,7+24,2CAB0=09213-35-22-8,7-17,7+20,2+25,08=CA8=A:226-42-27-9,5-21,2+19,6+25,1>2>A818@A:227-39-24-9,1-19,0+18,7+23,0<A:220-37-23-7,7-19,2+18,3+23,0!0<0@:0=4132-13+3+2,8-0,3+25,5+33,1!5<8?0;0B8=A:202-38-21-8,0-16,2+22,2-"0H:5=B130-15-6+2,4-0,9+26,9+33,3">1>;LA:229-36-22-7,0-18,5+18,0+21,6"><A:234-40-25-8,8-19,2+18,1+22,5"N<5=L220-35-21-5,7-16,6+18,6+22,4#;0=-#4M235-38-28-10,6-25,4+19,4+23,1%010@>2A:205-32-23-10,1-22,3+21,1-&5;8=>3@04215-35-22-8,7-17,4+20,2+25,2'8B0240-38-30-11,6-26,6+18,8- @8;>65=85 !2. '8A;> G0A>2 70 >B>?8B5;L=K9 ?5@8>4 A> A@54=5ACB>G=>9 B5<?5@0BC@>9 =0@C6=>3> 2>74CE0, @02=>9 8 =865 40==>9 (4;O >@85=B8@>2>G=KE @0AG5B>2). >@>4"5<?5@0BC@0 =0@C6=>3> 2>74CE0,  EMBED Equation.3 -45-40-35-30-25-20-15-10-50+82@>?59A:0O G0ABL@E0=35;LA:-110481503808201580267043006024AB@0E0=L---3321142916011238246041280:C----------2860@O=A:---217893568701730321049508;L=NA----323130415104029304650>@>=56---7341444701020185033804780>;3>3@04---113126420930165031004368:0B5@8=1C@3-1115419849410701980302040005470;0B>CAB--5481904901100205030604200556020=>2>--5421022756351300207038005210070=L--1201173287901520248038005230852---15361655021128235244848@>2--66117342896017502790408055508H8=52-----24622661521403980C@A:---31597343872174032604750C30=A:---1861222605126027604320L2>2----17402107052260440003=8B>3>@A:-72665190566125025603360410052500E0G:0;0-----31872260103036208=A:---41971232635134427454860>A:20--31547172418905173430334910C@<0=A:---6381354521117227640026740. >23>@>4--225992816851350232038205230. "038;-5195015446510302340330040805700>2>@>AA89A:----------322045AA0-----52615654419503960@5=1C@3--53516650010601810264037704820@A:--330202620125020102760390048905=70--2115523267014202390367049505@<L-31575220504105018402850408054205B@>702>4A:---4401724801070205038905690 830----2179436293528804920 >AB>2-=0->=C----541178494113027204200 O70=L--113581875401170208036205100!0<0@0--1101144008901490236037804950!-5B5@1C@3----2183273708153328785240!0@0B>2---2382326651320220025704780!<>;5=A:---223112381964185232415050"0;;8==----119136453113224395300"18;8A8----------3650"25@L---14481605161080202036205250"C;0--2102470206456244035004960#;LO=>2A:---12943308001560242036605110#@0;LA:--217983628551570238036204770#D0--5401604369801780277039005060%0@L:>2---11055254656142030604550'5;O18=A:--73916652011101950298039205180780BA:0O G0ABL:BN18=A:--12215448010601760261038004900;<0-B0--123112230062211021810282040000@=0C;1125217041579214302260312041305250;0482>AB>:----2915181350221033204820@:CBA:-758172458864173026003300432057800@030=40-33510927658410701870282040205080@0A=>O@A:1188221046882813602110300040505650CAB0=09-3875320776143022203080405051108=CA8=A:-25105282600106516602390314041305430>2>A818@A:-158920548891015502430329042705450<A:166419548595016602480331042505280!0<0@:0=4------10742987443170!5<8?0;0B8=A:-64913032069212802000286038604850"0H:5=B-----75417845912063120">1>;LA:-64315838682015002360329040705500"><A:3178222850093216002500336044005600"N<5=L-52511829467012702120305040505280%010@>2A:--253348105018802600324039004920'8B0-221464781050180025403160334044005760 @8;>65=85 !3. !@54=5<5AOG=K5 B5<?5@0BC@K =0@C6=>3> 2>74CE0 4;O @O40 3>@>4>2 1K2H53> !!!  (?> 40==K< !8 II    6  72. !B@>8B5;L=0O :;8<0B>;>38O 8 35>D878:0). >@>4!@54=5<5AOG=K5 B5<?5@0BC@K 2>74CE0,  EMBED Equation.3 !!5=B.:B.>O1@L5:./=2.$52.0@B?@.09N=L@E0=35;LA:+8,1+1,4-4,5-9,81-12,5-12,0-8,0-0,6+5,6+12,3AB@0E0=L+17,3+9,8+2,1-3,5-6,8-5,8+0,1+9,6+17,8+22,80@=0C;+10,8+2,6-8,2-15,2-17,7-16,3-9,5+1,8+11,3+17,4@O=A:+11,4+5,1-0,8-6,0-8,5-8,3-3,6+5,2+12,6+16,65;8:85 C:8+10,3+4,9-0,6-5,7-8,2-7,9-3,9+4,4+11,4+15,1>;3>3@04+16,1+7,80,0-6,1-9,2-8,7-2,3+8,3+16,7+21,6>;>340+9,0+2,5-3,6-9,2-11,8-11,4-6,4+2,1+9,5+14,4>@>=56+12,8+5,6-1,1-6,7-9,3-9,2-4,1+5,9+14,0+18,0C@L52+16,6+8,1-0,2-6,0-10,1-9,1-2,2+8,9+17,8+23,1:0B5@8=1C@3+9,2+1,3-7,1-13,3-15,3-13,4-7,3+2,6+10,1+15,6=8A59A:+8,3-0,4-12,5-20,9-22,0-19,0-10,6-0,9+7,1+15,0;0B>CAB+8,4+0,9-7,5-13,5-15,4-13,8-8,0+1,8+9,8+14,820=>2>+9,6+3,1-3,5-9,3-11,8-11,3-6,2+2,8+10,6+15,2@:CBA:+8,1+0,5-10,8-18,7-20,9-18,3-9,7+1,0+8,4+14,8070=L+10,7+3,2-4,7-11,0-13,5-12,9-7,0+3,3+12,1+16,90@0=30=40+11,7+2,8-7,0-13,3-15,1-14,5-8,7+3,0+12,4+17,9852+13,9+7,5+1,2-3,5-5,9-5,2-0,4+7,5+14,7+17,88@>2+9,0+1,5-6,0-12,0-14,2-13,1-7,1+2,0+9,8+15,5@0A=>O@A:+9,9+1,4-9,1-15,9-17,1-14,7-7,6+1,3+8,8+15,80E0G:0;0+19,3+13,6+7,0+2,3-0,4+0,1+3,4+9,2+16,3+21,58GC@8=A:+12,1+5,2-2,0-7,6-10,8-10,2-5,1+4,9+13,6+17,8>A:20+11,7+5,0-1,6-6,9-9,4-8,5-3,6+4,9+12,9+17,0.>23>@>4+10,7+3,2-3,6-9,2-12,0-11,6-5,6+3,4+11,2+16,3."038;+8,2+0,5-7,6-14,0-16,1-14,1-8,3+1,8+8,7+14,28:>;052+16,7+10,2+3,8-1,2-3,6-2,9+2,0+9,2+16,2+20,1>2>:C7=5F:+10,0+2,1-8,5-15,6-17,8-15,6-8,4+1,4+9,8+16,2>2>@>AA89A:+19,2+14,2+8,6+5,0+2,6+2,7+5,8+10,6+15,9+20,2>2>A818@A:+9,9+1,5-9,7-16,9-19,0-17,2-10,7-0,1+10,0+16,345AA0+16,9+11,4+5,3+0,2-2,5-2,0+2,0+8,2+15,0+19,4<A:+10,4+1,4-8,9-16,5-19,2-17,8-11,8+1,3+10,7+16,6@5=1C@3+13,3+4,6-4,4-11,5-14,8-14,2-7,7+4,7+14,7+19,85@<L+9,4+1,6-6,6-12,9-15,1-13,4-7,2+2,6+10,2+16,05B@>702>4A:+9,2+3,3-2,1-7,1-9,7-9,8-5,9+1,2+7,6+13,5OB83>@A:+15,6+9,5+2,8-1,8-4,1-3,2+1,1+8,3+14,7+18,7 >AB>2-=0->=C+16,2+9,2+2,2-3,1-5,7-5,1+0,2+9,0+16,4+20,0 O70=L+11,2+4,2-2,6-8,2-11,1-10,4-5,4+4,1+12,6+16,7!0<0@0+12,4+4,2-4,1-10,7-13,8-13,0-6,8+4,6+14,0+18,7!-5B5@1C@3+10,8+4,8-0,5-5,1-7,7-7,9-4,2+3,0+9,6+14,8!0@0B>2+14,1+5,7-2,4-8,7-11,9-11,3-5,2+5,8+15,1+20,0!5<8?0;0B8=A:+13,4+4,6-6,4-13,5-16,2-15,4-8,5+4,5+14,1+20,0!>G8+19,1+14,8+10,4+7,2+4,9+5,3+7,6+11,1+15,7+19,7"0H:5=B+19,4+12,6+6,4+1,6-0,9+2,0+7,6+14,4+20,0+24,7"25@L+9,9+3,9-2,2-7,3-10,4-10,0-5,2+3,3+11,0+14,8">1>;LA:+9,5+0,8-9,3-16,4-18,5-16,1-9,2+1,3+9,1+15,8"><A:+9,2+0,9-10,4-17,5-19,2-16,7-10,1-0,1+8,6+15,3"N<5=L+10,1+1,8-7,4-14,4-16,6-14,8-8,0+2,7+10,7+16,7#@0;LA:+13,7+5,1-3,6-10,6-14,2-13,8-7,3+5,5+14,9+20,2#D0+11,4+3,0-5,5-11,9-14,1-13,4-6,7+4,0+12,8+17,7%0@L:>2+14,0+7,1+0,3-4,8-7,3-6,9-1,7+7,7+15,1+18,6'5;O18=A:+10,8+2,4-6,4-13,0-15,5-14,3-7,9+3,1+11,9+17,3/;B0+19,1+14,2+9,3+6,1+4,0+3,8+5,9+10,3+15,6+20,3 @8;>65=85 !4. #:@C?=5==K5 ?>:070B5;8 <0:A8<0;L=>3> B5?;>2>3> ?>B>:0 =0 >B>?;5=85 68;KE 740=89 =0 1 <2 >1I59 ?;>I048 q o, B -B06=>ABL 68;>9 70AB@>9:8%0@0:B5@8AB8:0 740=89@0AG5B=0O B5<?5@0BC@0 =0@C6=>3> 2>74CE0 4;O ?@>5:B8@>20=8O >B>?;5=8O t o, oC-5-10-15-20-25-30-35-40-45-50-55;O ?>AB@>9:8 4> 1985 3. 1 - 257 CG5B0 2=54@5=8O M=5@3>A15@530NI8E <5@>?@8OB89148154160205213230234237242255271 3 - 4951021091171261341441501601691795 8 1>;5565707779868898102109115122 1 - 2! CG5B>< 2=54@5=8O M=5@3>A15@530NI8E <5@>?@8OB89147153160194201218222225230242257 3 - 49097103111119128137140152160171 5 8 1>;556569737582889296103109116;O ?>AB@>9:8 ?>A;5 1985 3. 1 - 2> =>2K< B8?>2K< ?@>5:B0<145152159166173177180187194200208 3 - 47480869197101103109116123130 5 8 1>;556567707381878795100102108 @8<5G0=85: -=5@3>A15@530NI85 <5@>?@8OB8O >15A?5G820NBAO ?@>2545=85< @01>B ?> CB5?;5=8N 740=89 ?@8 :0?8B0;L=KE 8 B5:CI8E @5<>=B0E, =0?@02;5==KE =0 A=865=85 B5?;>2KE ?>B5@L. #:@C?=5==K5 ?>:070B5;8 740=89 ?> =>2K< B8?>2K< ?@>5:B0< ?@82545=K A CG5B>< 2=54@5=8O ?@>3@5AA82=KE 0@E8B5:BC@=>-?;0=8@>2>G=KE @5H5=89 8 ?@8<5=5=85 AB@>8B5;L=KE :>=AB@C:F89 A C;CGH5==K<8 B5?;>D878G5A:8<8 A2>9AB20<8, >15A?5G820NI8<8 A=865=85 B5?;>2KE ?>B5@L. @8;>65=85 !5. #:@C?=5==K5 ?>:070B5;8 A@54=53> B5?;>2>3> ?>B>:0 =0 3>@OG55 2>4>A=0165=85 q h !@54=OO 70 >B>?8B5;L=K9 ?5@8>4 =>@<0 @0AE>40 2>4K ?@8 B5<?5@0BC@5 55 >! =0 3>@OG55 2>4>A=0165=85 2 ACB:8 =0 1 G5;., ?@>6820NI53> 2 740=88 A 3>@OG8< 2>4>A=0165=85<, ;=0 >4=>3> G5;>25:0, B, ?@>6820NI53> 2 740=88A 3>@OG8< 2>4>A=0165=85<A 3>@OG8< 2>4>A=0165=85< A CG5B>< ?>B@51;5=8O 2 >1I5AB25==KE 740=8OE157 3>@OG53> 2>4>A=0165=8O A CG5B>< ?>B@51;5=8O 2 >1I5AB25==KE 740=8OE852473207390259332731053053767311533440773 @8;>65=85 !6. #45;L=K5 B5?;>2K5 E0@0:B5@8AB8:8 68;KE 8 >1I5AB25==KE 740=89 08<5=>20=85 740=891J5< 740=89, V, BKA.< EMBED Equation.3 #45;L=K5 B5?;>2K5 E0@-:8, B/< EMBED Equation.3  0AG5B=0O B5<?-@0 t2 ! EMBED Equation.3  EMBED Equation.3 68;K5 :8@?8G=K5 740=8O4> 5 4> 10 4> 15 4> 20 4> 300.44 0.38 0.34 0.32 0.32 - 18 - 2068;K5 5-B8 MB06=K5 :@C?=>-1;>G=K5 740=8O, 68;K5 9-B8 MB06=K5 :@C?=>-?0=5;L=K5 740=8O4> 6 4> 12 4> 16 4> 25 4> 400.49 0.43 0.42 0.43 0.42 - 18 - 2004<8=8AB@0B82=K5 740=8O4> 5 4> 10 4> 15 >;55 150.50 0.44 0.41 0.370.10 0.09 0.08 0.2118:;C1K, 4><0 :C;LBC@K4> 5 4> 10 >;55 100.43 0.38 0.350.29 0.27 0.2316:8=>B50B@K4> 5 4> 10 1>;55 100.42 0.37 0.350.50 0.45 0.4414B50B@K , F8@:8, :>=F5@B=K5 8 7@5;8I=>-A?>@B82=K5 70;K 4> 10 4> 15 4> 20 4> 300.34 0.31 0.25 0.230.47 0.46 0.44 0.4215C=825@<038, <03078=K ?@><B>20@=K54> 5 4> 10 >;55 100.44 0.38 0.360.50 0.40 0.3215<03078=K ?@>4>2>;LAB25==K54> 1500 4> 80000.60 0.450.70 0.501245BA:85 A04K 8 OA;84> 5 >;55 50.44 0.390.13 0.1220H:>;K 8 2KAH85 CG51=K5 702545=8O4> 5 4> 10 >;55 100.45 0.41 0.380.10 0.09 0.08161>;L=8FK 8 48A?0=A5@K4> 5 4>10 4> 15 >;55 150.46 0.42 0.37 0.350.34 0.32 0.30 0.292010=8, 4CH52K5 ?028;L>=K > 5 > 10 >;55 100.32 0.36 0.271.16 1.10 1.0425?@0G5G=K54> 5 4> 10 >;55 100.44 0.38 0.360.93 0.90 0.8715?@54?@8OB8O >1I5AB25==>3> ?8B0=8O, AB>;>2K5, D01@8:8-:CE=84> 5 4> 10 >;55 100.41 0.38 0.350.81 0.75 0.7016:><18=0BK 1KB>2>3> >1A;C6820=8O, 4><0 1KB04> 0.5 > 70.70 0.500.80 0.5518 @8;>65=85 !7. =0G5=8O :>MDD8F85=B0  EMBED Equation.3 . "5?;>?>B@518B5;L EMBED Equation.3 8;8I=>-:><<C=0;L=K9 A5:B>@ 2 ?@><KH;5==>< 3>@>450.88;8I=>-:><<C=0;L=K9 A5:B>@ 2 N6=>< (:C@>@B=><) 3>@>451.5@><KH;5==>5 ?@54?@8OB851.0 @8;>65=85 !8. #45;L=K5 B5?;>?>B5@8  EMBED Equation.3  8 C45;L=K5 @0AE>4K B5?;>BK =0 25=B8;OF8N  EMBED Equation.3  ?@><KH;5==KE, A;C651=KE 740=89 (4;O >@85=B8@>2>G=KE @0AG5B>2). @><KH;5==K5 740=8O07=0G5=85 740=89!B@>8B5;L=K9 >1J5< 740=89, BKA.< EMBED Equation.3 #45;L=0O E0@0:B5@8AB8:0,  EMBED Equation.3 4;O >B>?;5=8O  EMBED Equation.3 4;O 25=B8;OF88  EMBED Equation.3  'C3C=>;8B59=K5 F5E810-50 50-100 100-1500,35-0,29 0,29-0,25 0,25-0,211,28-1,17 1,17-1,05 1,05-0,95 !B0;5;8B59=K5 F5E810-50 50-100 100-1500,35-0,29 0,29-0,25 0,25-0,211,12-0,97 0,97-0,85 0,86-0,8 54=>;8B59=K5 F5E85-10 10-20 20-300,47-0,42 0,42-0,29 0,29-0,242,8-2,36 2,36-1,86 1,86-1,38 "5@<8G5A:85 F5E8> 10 10-30 30-750,47-0,35 0,35-0,29 0,29-0,241,52-1,40 1,40-1,17 1,17-0,70 C7=5G=K5 F5E8> 10 10-50 50-1000,47-0,35 0,35-0,29 0,29-0,180,80-0,70 0,70-0,58 0,58-0,355E0=>A1>@>G=K5 8 <5E0=8G5A:85 F5E8, A;5A0@=K5 <0AB5@A:855-10 10-50 50-100 100-2000,65-0,53 0,53-0,47 0,47-0,44 0,44-0,420,47-0,29 0,29-0,17 0,17-0,14 0,14-0,10 5@52>>145;>G=K5 F5E8> 5 5-10 10-500,69-0,64 0,64-0,53 0,53-0,470,69-0,58 0,58-0,53 0,53-0,47&5E8 <5B0;;8G5A:8E ?>:@KB8950-100 100-1500,45-0,42 0,42-0,350,61-0,53 0,53-0,42&5E8 ?>:@KB89 <5B0;;0<8> 2 2-5 5-100,75-0,69 0,69-0,64 0,64-0,535,85-4,70 4,70-3,45 3,45-2,36 5<>=B=K5 F5E85-10 10-200,69-0,58 0,58-0,530,23-0,18 0,18-0,12>:><>B82=>5 45?>> 5 5-100,81-0,75 0,75-0,690,47-0,35 0,35-0,29!:;04K E8<8:0B>2, :@0A>: 8 B.?.> 1 1-2 2-51,0-0,86 0,86-0,75 0,75-0,67- - 0,7-0,53!:;04K <>45;59 8 3;02=K5 <03078=K1-2 2-5 5-100,95-0,80 0,80-0,70 0,70-0,53- - -KB>2K5 8 04<8=8AB@0B82=K5 2A?><>30B5;L=K5 ?><5I5=8O0,5-1 1-2 2-5 5-10 10-200,70-0,53 0,53-0,47 0,47-0,39 0,39-0,35 0,35-0,29- - 0,17-0,14 0,14-0,13 0,13-0,11@>E>4=K5> 0,5 0,5-2,0 2-51,53-1,40 1,40-0,80 0,80-0,58- - 0,18-0,12070@<K 8 ?><5I5=8O % 5-10 10-150,44-0,39 0,39-0,36- - @8;>65=85 !9. >?@02>G=K9 :>MDD8F85=B  EMBED Equation.3  : 25;8G8=5  EMBED Equation.3 . 0AG5B=0O B5<?5@0BC@0 =0@C6=>3> 2>74CE0  EMBED Equation.DSMT4 , (!( 0AG5B=0O B5<?5@0BC@0 =0@C6=>3> 2>74CE0 t o ,(!(02.02-301.00-51.67-350.95-101.45-400.90-151.29-450.85-201.17-500.82-251.08-550.80 @8;>65=85 !10. >@<K @0AE>40 3>@OG59 2>4K (!8 02.04.01-85  =CB@5==89 2>4>?@>2>4 8 :0=0;870F8O 740=89 ) >B@518B5;L 48=8F0 87<5@5=8O 0AE>4!@54=5-=545;L=K9, ;/ACB2 ACB:8 =081>;LH53> 2>4>?>B@51;5=8O, ;/ACB <0:A8<0;L=> G0A>2>9, ;/G8;K5 4><0 :20@B8@=>3> B8?0, >1>@C4>20==K5: C<K20;L=8:0<8, <>9:0<8 8 4CH0<8 A84OG8<8 20==0<8 8 4CH0<8 20==0<8 4;8=>9 >B 1,5< 4> 1,7< 8 4CH0<8 1 68B5;L 85 90 105 100 110 120 7,9 9,2 108;K5 4><0 :20@B8@=>3> B8?0 ?@8 2KA>B5 740=89 1>;55 12 MB0659 8 ?>2KH5==>< 1;03>CAB@>9AB25 115 130 10,91I568B8O: A >1I8<8 4CH52K<8 A 4CH52K<8 2> 2A5E :><=0B0E A >1I8<8 :CE=O<8 8 1;>:0<8 4CH52KE =0 MB060E 1 68B5;L 50 60 80 60 70 90 6,3 8,2 7,5>AB8=8FK, ?0=A8>=0BK 8 <>B5;8 A >1I8<8 20==0<8 8 4CH0<81 68B5;L70708,2>AB8=8FK A 20==0<8 2 >B45;L=KE =><5@0E: 2 25% >B >1I53> G8A;0 =><5@>2 B> 65 2 75% 2> 2A5E =><5@0E 1 68B5;L 100 150 180 100 150 180 10,4 15 16>;L=8FK: A >1I8<8 20==0<8 8 4CH52K<8 A A0=8B0@=K<8 C7;0<8, ?@81;865==K<8 : ?0;0B0< 8=D5:F8>==K5 1 :>9:0 75 90 110 75 90 110 5,4 7,7 9,5!0=0B>@88 8 4><0 >B4KE0: A 20==0<8 ?@8 2A5E 68;KE :><=0B0E A 4CH52K<8 ?@8 2A5E 68;KE :><=0B0E 1 :>9:0 120 75 120 75 4,9 8,2>;8:;8=8:8 8 0<1C;0B>@881 1>;L=>9 2 A<5=C5,261,2@0G5G=K5: <5E0=878@>20==K5 =5<5E0=878@>20==K5 1:3 ACE>3> 15;LO 25 15 25 15 25 154<8=8AB@0B82=K5 740=8O1 @01>B=8:572#G51=K5 702545=8O A 4CH52K<8 ?@8 38<=0AB8G5A:8E 70;0E 8 1CD5B0<81 CG0I89AO 8 1 ?@5?>40-20B5;L 6 8 1,2@>D5AA8>=0;L=>-B5E=8G5A:85 CG8;8I0B> 65891,4@54?@8OB8O >1I5AB25==>3> ?8B0=8O: 4;O ?@83>B>2;5=8O ?8I8, @50;87C5<>9 2 >1545==>< 70;5 B> 65 ?@>40205<>9 =0 4>< 1 1;N4> 12,7 11,2 12,7 11,2 12,7 11,203078=K: ?@>4>2>;LAB25==K5 ?@><B>20@K1 @01>B0-NI89 2 A<5=C 65 5 65 7 9,6 2!B048>=K 8 A?>@B70;K: 4;O 7@8B5;59 4;O D87:C;LBC@=8:>2 4;O A?>@BA<5=>2 1 <5AB> 1 D87:C;L-BC@=8: 1 A?>@BA<5= 1 30 60 1 30 60 0,1 2,5 50=8: 4;O <KBLO 2 <K;L=>9 A >?>;0A:820=85< 2 4CH5 B> 65 A ?@85<>< >74>@>28B5;L=KE ?@>F54C@ 4CH520O :018=0 20==0O :018=0 - - - - 120 190 240 360 120 190 240 360CH52K5 2 1KB>2KE ?><5I5=8OE ?@><KH;5==KE ?@54?@8OB891 4CH520O A5B:0 2 A<5=C - 270 270 @8;>65=85 !11. =0G5=85 :>MDD8F85=B0  EMBED Equation.3 . "8?K :><?5=A0B>@>2#A;>2=K9 ?@>E>4 B@C1 DC , <<=0G5=8O :>MDD8F85=B0 a;O ?0@>?@>2>4>2;O 2>4O=KE B5?;>2KE A5B59 8 :>=45=A0B>?@>2>4>2"@0=78B=K5 <038AB@0;8!0;L=8:>2K5> 10000,20,2->1@07=K5 A 3=CBK<8 >B2>40<8> 3000,50,3->1@07=K5 A> A20@=K<8 >B2>40<8200-350 400-500 600-10000,7 0,9 1,20,5 0,7 1 0725B2;5==K5 B5?;>2K5 A5B8!0;L=8:>2K5> 400 450-10000,4 0,50,3 0,4->1@07=K5 A 3=CBK<8 >B2>40<8> 150 175-200 250-3000,5 0,6 0,80,3 0,4 0,6->1@07=K5 A> A20@=K<8 >B2>40<8175-250 300-350 400-500 600-10000,8 1 1 1,20,6 0,8 0,9 1 @8;>65=85 !12. #45;L=K5 ?5@5?04K 402;5=8O ( B@, 0/<, 2 AB0;L=KE B@C10E ?@8 =>@<8@>20==>9 H5@>E>20B>AB8 :M=0.0005 < 8 @07;8G=KE <0AA>2KE @0AE>40E 2>4K A B5<?5@0BC@>9 100 (!. @>4>;65=85 0AA>2K5 @0AE>4K 2>4K, G :3/A#A;>2. ?@>E>4 B@C1 D EMBED Equation.3 , <<0AA>2K5 @0AE>4K 2>4K, G :3/A#A;>2. ?@>E>4 B@C1 D EMBED Equation.3 , <<0AA>2K5 @0AE>4K 2>4K, G :3/A#A;>2=K9 ?@>E>4 B@C1 D EMBED Equation.3 , <<350400500600700800900100012001400 EMBED Equation.3  EMBED Equation.3  EMBED Equation.3 37794269530963011720128201492014102014122014142016404,31--2007--5005,98---506,73--25010,95,45-6008,614,98--609,695,14-30015,77,84-70011,76,77--7013,27,00-35021,410,75,3480015,38,85--8017,29,15-4002813,96,9790019,411,2--9021,811,6-45035,417,68,42100023,913,85,4-10026,914,3-50043,721,810,9120034,419,97,78-11032,617,3-55052,926,413,2140046,927,110,64,7812038,820,6-6006331,415,7160061,235,413,86,2413045,524,2-6507336,818,4180077,544,817,,57,914052,728,0-70085,742,721,4200095,755,321,19,7515060,632,29,9375098,44924,5220011666,926,111,816068,936,611,380011255,827,5240013879,631,11417077,841,312,68501266331,5260016293,436,516,518087,246,314,390014270,635,3280018810842,319,119097,251,615,995015879,739,3300021512448,621,920010857,217,6100017587,143,6320024514255,32522013069,921,4110021210552,7340027616062,428,224015582,325,4120025212562,836003101797031,626018296,629,8130029614773,638003452007835,228021111234,6140034317185,4400038322186,43930024212939,7150039419698450048428010949,332027614645,216004492231125000-34613560,934031116551,017005062521265500-41816373,736034918557,21800-2821416000-49819487,738038920663,71900-3151576500--22010340043122970,62000-3491747000--26511945054528989,32200-4272117500--304137500-3571102400-5012518000--346156550-4321332600--2958500--390176600-5151592800--3429000--437197650--1893000--3929500--487220700--2163200--44610000--540244750--2483400--50411000---295800--282850--319900--357950--398 @8;>65=85 !13. =0G5=8O :>MDD8F85=B>2 <5AB=KE A>?@>B82;5=89. 5AB=>5 A>?@>B82;5=85(5AB=>5 A>?@>B82;5=85(04286:0 =>@<0;L=0O0.5B2>4K A20@=K5 42CEH>2=K5 ?>4 C3;>< 90(0.65=B8;L A :>AK< H?8=45;5<0.55=B8;L A 25@B8:0;L=K< H?8=45;5<61@0B=K9 :;0?0= =>@<0;L=K97B2>4K A20@=K5 B@5EH>2=K5 ?>4 C3;>< 90(0.51@0B=K9 :;0?0=  70E;>?:0 3B2>4K 3=CBK5 ?>4 C3;>< 90( 3;04:85 ?@8 R/d: 1 3 4 1 0.5 0.3@0= ?@>E>4=>92><?5=A0B>@ A0;L=8:>2K90.3><?5=A0B>@ ->1@07=K9: A 3;04:8<8 >B2>40<8 A :@CB>87>3=CBK<8 >B2>40<8 A> A20@=K<8 >B2>40<8 1.7 2.4 2.8"@>9=8: ?@8 A;8O=88 ?>B>:>2: ?@>E>4* >B25B2;5=85 1.5 2B2>4K 3=CBK5 ?>4 C3;>< 90( A> A:;04:0<8 ?@8 R/d: 3 4 0.8 0.5"@>9=8: ?@8 @0745;5=88 ?>B>:0: ?@>E>4* >B25B2;5=85 1 1.5"@>9=8: ?@8 ?>B>:5: @0AE>4OI5<AO 2AB@5G=>< 2 3B2>4K A20@=K5 >4=>H>2=K5 ?>4 C3;><, 3@04: 60 45 30 0.7 0.3 0.2@O7528:10*>MDD8F85=B ( >B=5A5= : CG0AB:C A AC<<0@=K< @0AE>4>< 2>4K. @8;>65=85 !14. =0G5=8O l M 4;O B@C1 ?@8 (( = 1 07<5@K B@C1, <<l M, <, ?@8 k M, < 07<5@K B@C1, <<l M, <, ?@8 k M, < EMBED Equation.3 , << EMBED Equation.3 , <<0,00020,00050,001 EMBED Equation.3 , << EMBED Equation.3 , <<0,00020,00050,0012533,5(3,20,840,670,56350377(921,216,914,23238(2,51,080,850,72400426(924,919,816,74045(2,51,371,090,91400426(625,420,2175057(31,851,471,24450480(729,423,419,77076(32,752,191,84500530(833,326,522,28089(43,32,632,21600630(941,432,927,7100108(44,33,422,87700720(1048,938,932,7125133(45,684,523,8800820(1057,84638,7150159(4,57,15,74,8900920(1166,853,144,7175194(59,27,36,210001020(1276,160,550,9200219(610,78,57,111001120(1285,768,257,3250273(714,111,29,412001220(1495,295,263,7300325(817,614,011,814001420(14115,691,977,3 @8;>65=85 !15. "5?;>87>;OF8>==K5 <0B5@80;K 0B5@80;#A;>2=K9 ?@>E>4 B@C1>?@>2>40, <<!@54=OO ?;>B=>ABL,  EMBED Equation.3 , :3/<3"5?;>?@>2>4=>ABL ACE>3> <0B5@80;0,  EMBED Equation.3 0:A8<0;L=0O B5<?5@0BC@0 25I5AB20, 0!@<>?5=>15B>=150-800350-4500,105-0,131508BC<>?5@;8B50-400450-5500,11-0,131308BC<>:5@0<78B4> 5006000,131305=>?>;8<5@15B>=100-4004000,131505=>?>;8C@5B0=100-40060-800,07120$5=>;L=K9 ?>@>?;0AB $, <>=>;8B=K94> 10001000,05150 @8;>65=85 !16. >@<K ?;>B=>AB8 B5?;>2>3> ?>B>:0 qe, B/<, G5@57 87>;8@>20==CN ?>25@E=>ABL B@C1>?@>2>4>2 42CEB@C1=KE 2>4O=KE B5?;>2KE A5B59 ?@8 G8A;5 G0A>2 @01>BK 2 3>4 1>;55 5000. #A;>2=K9 ?@>E>4 B@C1B8? ?@>:;04:8>B:@KBK9 2>74CEB>==5;L, ?><5I5=85=5?@>E>4=>9 :0=0;15A:0=0;L=0OA@54=OO B5<?5@0BC@0 B5?;>=>A8B5;O, >!d, <<5010050100509050901234567892513251022102324443214271124112426474015291226122527505017311328132829546519361532153433608021391635163634611002443183917413565125274921441842397215030542449194443802003765295922544889250437534682564519630049843977287056105350559344853075601134006110248933382631214506510952101369367129500711195710938987213860082136671254110980156700921517413943126861708001031678415545140931869001131849317054151100012420110218657158 @8;>65=85 !17. 0AAB>O=85 <564C =5?>4286=K<8 >?>@0<8 B@C1>?@>2>4>2. #A;>2=K9 ?@>E>4 B@C1, <<><?5=A0B>@K ->1@07=K5><?5=A0B>@K A0;L=8:>2K5!0<>:><?5=A0F8O 0AAB>O=8O <564C =5?>4286=K<8 >?>@0<8 2 < ?@8 ?0@0<5B@0E B5?;>=>A8B5;O: @01 =8-16 :3A/A<2, t=100-150 EMBED Equation.3  25---3250-304060-365060-367070-428080-4810080704812590705415010080601751008060200120807225012010072300120100723501401208440016014096450160140965001801401086002001601207002001601208002001601209002001601201000200160120 @8;>65=85 !18. !@54=53>4>20O B5<?5@0BC@0 A@54K, >:@C60NI59 B@C1>?@>2>4. "8? ?@>:;04:8 B@C1>?@>2>40 EMBED Equation.3 ?@>:;04:0 2 BC==5;OE40 EMBED Equation.3 ?@>:;04:0 2 ?><5I5=8OE20 EMBED Equation.3 ?@>:;04:0 2 =5>B0?;8205<KE B5E?>4>?>;LOE5 EMBED Equation.3 =0475<=0O ?@>:;04:0 =0 >B:@KB>< 2>74CE5 EMBED Equation.3 ?>475<=0O ?@>:;04:01& 5 @8;>65=85 !19. =0G5=85 :>MDD8F85=B0 k1. 09>= AB@>8B5;LAB20A?>A>1 ?@>:;04:8 B@C1>?@>2>40>B:@KBK9 2>74CEB>==5;L, ?><5I5=85=5?@>E>4=>9 :0=0;15A:0=0;L-=0O2@>?59A:85 @09>=K (1.1-1.5, 11.1-11.2)1.01.01.01.00?04=0O !818@L (V111.1-V111.5)1.031.051.031.02>AB>G=0O !818@L (l(.l-lX.3)1.071.091.071.030;L=89 >AB>: (X.l-X.3)0.880.90.80.96 09>=K @09=53> !525@0 8 ?@8@02=5==K5 : =8< (Ic-Xc)0.90.950.85- @8;>65=85 !20. =0G5=85 :>MDD8F85=B0 k2. 0B5@80; B5?;>87>;OF8>==>3> A;>OCA;>2=K9 ?@>E>4 B@C1>?@>2>4>2, <<25-6580-150200-300350-500>;8<5@15B>=0,70,80,91,05=>?>;8C@5B0=, D5=>;L=K9 ?>@>?;0AB $0,50,60,70,8 @8;>65=85 !21. "5E=8G5A:85 E0@0:B5@8AB8:8 >A=>2=KE A5B52KE =0A>A>2. "8? =0A>A0>40G0, <3/A (<3/G)0?>@, <>?CAB8<K9 :028B0F8>==K9 70?0A, < AB.6., =5 <5=5502;5=85 =0 2E>45 2 =0A>A, 0(:3A/A<2) =5 1>;55'0AB>B0 2@0I5=8O (A8=E@>==0O), 1/A(1/<8=)>I=>ABL, :B. ?. 4., %, =5 <5=55"5<?5@0BC@0 ?5@5:0G8205<>9 2>4K, ((!), =5 1>;550AA0 =0A>A0, :3!--160-50 !--160-70 !--160-100 !--250-50 !--320-110 !--500-70-11 !--500-70-16 !--500-140 !--800-55-11 !--800-55-16 !--800-100-11 !--800-100-16 !--800-160 !--1250-45-11 !--1250-45-25 !--1250-70-11 !--1250-70-16 !--1250-100 !--1250-140-11 !--1250-140-16 !--1600-50 !--1600-80 !--2000-100 !--2000-140 !--2500-60-11 !--2500-60-25 !--2500-180-16 !--2500-180-10 !--3200-70 !--3200-100 !--3200-160 !--5000-70-6 !--5000-70-10 !--5000-100 !--5000-1600,044(160) 0,044(160) 0,044(160) 0,069(250) 0,089(320) 0,139(500) 0,139(500) 0,139(500) 0,221(800) 0,221(800) 0,221(800) 0,221(800) 0,221(800) 0,347(1250) 0,347(1250) 0,347(1250) 0,347(1250) 0,347(1250) 0,347(1250) 0,347(1250) 0,445(1600) 0,445(1600) 0,555(2000) 0,555(2000) 0,695(2500) 0,695(2500) 0,695(2500) 0,695(2500) 0,890(3200) 0,890(3200) 0,890(3200) 1,390(5000) 1,390(5000) 1,390(5000) 1,390(5000)50 70 100 50 110 70 70 140 55 55 100 100 160 45 45 70 70 100 140 140 50 80 100 140 60 60 180 180 70 100 160 70 70 100 1605,5 5,5 5,5 7,0 8,0 10,0 10,0 10,0 5,5 5,5 5,5 5,5 14,0 7,5 7,5 7,5 7,5 7,5 7,5 7,5 8,5 8,5 22,0 22,0 12,0 12,0 28,0 28,0 15,0 15,0 32,0 15,0 15,0 15,0 40,00,39 4 0,39 4 0,39 4 0,39 4 0,39 4 1,08 11 1,57 16 1,57 16 1,08 11 1,57 16 1,08 11 1,57 16 1,57 16 1,08 11 2,45 25 1,08 11 1,57 16 1,57 16 1,08(11) 1,57(16) 2,45(25) 1,57(16) 1,57(16) 1,57(16) 1,08(11) 2,45(25) 1,57(16) 0,98(10) 0,98(10) 0,98(10) 0,98(10) 0,59(6) 0,98(10) 1,57(16) 0,98(10)50(3000) 50(3000) 50(3000) 50(3000) 50(3000) 50(3000) 50(3000) 50(3000) 25(1500) 25(1500) 25(1500) 25(1500) 50(3000) 25(1500) 25(1500) 25(1500) 25(1500) 25(1500) 25(1500) 25(1500) 25(1500) 25(1500) 50(3000) 50(3000) 25(1500) 25(1500) 50(3000) 50(3000) 25(1500) 25(1500) 50(3000) 25(1500) 25(1500) 25(1500) 50(3000)29 37 59 41 114 103 103 210 132 132 243 243 378 166 166 260 260 370 518 518 234 388 572 810 422 422 1380 1380 672 898 1530 1035 1035 1340 234073 79 71 80 80 82 82 81 81 81 80 80 82 82 82 82 82 82 82 82 83 80 85 84 86 86 84 84 86 86 86 87 87 87 87 393(120) 453(180) 453(180) 393(120) 453(180) 393(120)- - - - - 1034 1034 - 1514 1514 3035 3035 - 2125 2125 1621 1621 - 4141 4141 - - - - 3770 - - 2277 - - - 5220 5220 - 4870 @8;>65=85 !22. "5E=8G5A:85 E0@0:B5@8AB8:8 >A=>2=KE F5=B@>156=KE =0A>A>2 B8?0 . 0@:0 =0A>A0@>872>48-B5;L=>ABL, <3/G>;=K9 =0?>@, <'0AB>B0 2@0I5=8O :>;5A0, >1/<8= 5:><5=4C5<0O <>I=>ABL M;5:B@>42830B5;O, :B80<5B@ @01>G53> :>;5A0, <<1 -66-11-1420-17-1429001371281,5 -605-91316-14-111,71151,5 -614-9-1312-11-91,01052 -610-20-3034-31-244,51622 -6010-20-3028-25-202,81482 -6110-20-2522-18-162,81322 -911-20-2221-18-172,81292 -9010-17-2116-15-131,71182 -9110-15-2013-12-101,71063 -630-45-7062-57-4414-202183 -6030-50-6545-37-3010-141923 -930-45-5434-31-277,01683 -9025-85-4524-22-194,51434 -665-95-13598-91-72552724 -6065-85-12582-76-62402504 -870-90-12059-55-43282184 -8070-90-10948-43-37202004 -1265-90-12037-34-28141744 -12060-85-11031-28-2314,1634 -1860-80-10025-22-197,01484 -18050-70-9020-18-147,01366 -8110-140-19036-36-311450283286 -80110-140-18030-28-25203006 -81110-140-18024-22-18202756 -12110-160-20022-20-17142646 -12095-150-18017-15-12102408 -12220-280-34032-29-25403158 -120200-250-29026-24-21282908 -18220-285-36020-18-15202688 -180200-260-32017-15-1220250 @8;>65=85 !23. "8?>@07<5@K ->1@07=KE :><?5=A0B>@>2. 80<5B@, <b, <<A, <<d, <<e, <<f , <<R, <<l, <<L, <(l:, <<Dy, <<D=, <<50510,6 0,8 1,0 1,21200 1200 1200 1200500 500 500 500200 400 600 800100 100 100 100150 150 150 150200 200 200 200314 314 314 3142,05 2,45 2,85 3,2550 70 100 1201001081,2 1,6 2,0 2,42600 2600 2600 26001100 1100 1100 1100300 700 1100 1500200 200 200 200300 300 300 300450 450 450 450707 707 707 7074,28 5,02 5,82 6,62100 150 250 2801251331,5 2,0 2,5 3,02970 2970 2970 29701310 1310 1310 1310440 940 1440 1940250 250 250 250300 300 300 300530 530 530 530832 832 832 8325,02 6,05 7,05 8,05100 180 260 3101501591,8 2,4 3,0 3,63520 3520 3520 35201560 1560 1560 1560540 1140 1740 2340300 300 300 300350 350 350 350630 630 630 630989 989 989 9896,03 7,23 8,43 9,63120 220 280 3502002192,4 3,2 4,0 4,84600 4600 4600 46002100 2100 2100 2100700 1500 2300 3100400 400 400 400400 400 400 400850 850 850 8501335 1335 1335 13357,94 9,64 11,14 12,74160 240 350 4202502733,0 4,0 5,0 6,05500 5500 5500 55002500 2500 2500 25001000 2000 3000 4000500 500 500 500500 500 500 5001000 1000 1000 10001571 1571 1571 15719,78 11,78 13,78 15,78200 310 400 6003003253,6 4,8 6,0 7,26800 6800 6800 68003100 3100 3100 31001100 2300 3500 4700600 600 600 600600 600 600 6001250 1250 1250 12501963 1963 1963 196311,85 14,25 16,65 19,65260 400 500 6803503774,2 5,6 7,08100 8100 81003700 3700 37001200 2600 4000700 700 700700 700 7001500 1500 15002355 2355 235513,92 16,72 19,52320 470 6404004274,8 6,4 8,09600 9600 96004400 4400 44001200 2800 4400800 800 800800 800 8001800 1800 18002827 2827 282716,40 19,30 22,50300 410 6005005296,0 8,0 10,011000 11000 110005000 5000 50002000 4000 60001000 1000 10001000 1000 10002000 2000 20003142 3142 314219,56 23,56 27,56350 500 650 @8<5G0=85: L - 2K?@O<;5==0O 4;8=0 :><?5=A0B>@0, l:  :><?5=A8@CNI0O A?>A>1=>ABL, ?@8 CA;>288 ?@5420@8B5;L=>9 @0ABO6:8 ?@8 <>=B065 =0 (l:/2. @8;>65=85 !24. "5E=8G5A:85 E0@0:B5@8AB8:8 B5?;>87>;OF8>==KE 8745;89, 4>?CA:05<KE : ?@8<5=5=8N 2 :0G5AB25 >A=>2=>3> A;>O 87>;OF88 4;O B@C1>?@>2>4>2 B5?;>2KE A5B59 ?@8 2>74CH=>9 ?@>:;04:5. 08<5=>20=85#A;>2=K5 ?@>E>4K B@C1 DC,<<;>B=>ABL :>=AB@C:F88, :3/< EMBED Equation.3  0AG5B=0O B5?;>-?@>2>4=>ABL 0:A. 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