Respostas Lista 1 LINGO
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7/21/2019 Respostas Lista 1 LINGO
http://slidepdf.com/reader/full/respostas-lista-1-lingo 1/9
PESQUISA OPERACIONAL II
LISTA DE EXERCICIOS LINGO 29/10/15
GRUPO 7
EX 1:
Max = 784*x - 49*x^2 + 576*y - 36*y^2;!Restrições;[R1] = 5;[R2] " = 14 ;[R3] 3* + 2*" = 17;
#$%&a$ %'ti(a$ s%$)ti% %), .&/e0tie a$)e 3645469 easi&i$ities %ta$ s%$er iterati%s 6
$a'se, r)ti(e se0%,s 63 M%,e$ is 0%ex )a,rati0
M%,e$ $ass :
%ta$ aria&$es 2 %$iear aria&$es 2 te<er aria&$es
%ta$ 0%straits 4
%$iear 0%straits 1
%ta$ %er%s 6 %$iear %er%s 2
>aria&$e >a$)e Re,)0e, %st 322377 2474729-5
" 3665385 2252248-5
7/21/2019 Respostas Lista 1 LINGO
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R%? @$a0A %r @)r'$)s B)a$ :ri0e 1 3645469 1 R1 1776923 5242-5 R2 133462 R3 487236-7 156462
7/21/2019 Respostas Lista 1 LINGO
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EX 2:
Max = 54*x - 9*x^2 + 78*y - 13*y^2;
!Restrições;[R1] = 5;[R2] 2*" = 14 ;[R3] 3* + 2*" = 17;
#$%&a$ %'ti(a$ s%$)ti% %), .&/e0tie a$)e 198 easi&i$ities %ta$ s%$er iterati%s 6 $a'se, r)ti(e se0%,s 51 M%,e$ is 0%ex )a,rati0
M%,e$ $ass :
%ta$ aria&$es 2
%$iear aria&$es 2 te<er aria&$es
%ta$ 0%straits 4 %$iear 0%straits 1
%ta$ %er%s 6 %$iear %er%s 2
>aria&$e >a$)e Re,)0e, %st 3 " 3
R%? @$a0A %r @)r'$)s B)a$ :ri0e 1 198 1 R1 2 1446846-8 R2 8 R3 2 1827277-8
7/21/2019 Respostas Lista 1 LINGO
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7/21/2019 Respostas Lista 1 LINGO
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EX 3:
M = 7*5 + C7DE* 5 + CD4E * 1;F#CE;
G%0a$ %'ti(a$ s%$)ti% %), .&/e0tie a$)e 355916 .&/e0tie &%), 355916 easi&i$ities xte,e, s%$er ste's 2 %ta$ s%$er iterati%s 6
$a'se, r)ti(e se0%,s 249
M%,e$ $ass MG:
%ta$ aria&$es 1 %$iear aria&$es 1 te<er aria&$es 1
%ta$ 0%straits 1
%$iear 0%straits 1
%ta$ %er%s 1 %$iear %er%s 1
>aria&$e >a$)e Re,)0e, %st 118 -1364555
R%? @$a0A %r @)r'$)s B)a$ :ri0e 1 355916 -1
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7/21/2019 Respostas Lista 1 LINGO
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EX4:
M = F@RCCC-5-E^2E+CC1-"E^2EE+ F@R CCC2-E^2E+CC1-"E^2EE+F@RCC1-E^2E+CC5-"E^2E ;
!R@RHI@;
F@R CCC1-E^2E+CC"1-"E^2EE=1;F@R CCC2-E^2E+CC"2-"E^2EE=1;F@R CCC3-E^2E+CC"3-"E^2EE=1;
G%0a$ %'ti(a$ s%$)ti% %), .&/e0tie a$)e 25367 easi&i$ities %ta$ s%$er iterati%s 6 $a'se, r)ti(e se0%,s 61
M%,e$ $ass G:
%ta$ aria&$es 8 %$iear aria&$es 8 te<er aria&$es
%ta$ 0%straits 4 %$iear 0%straits 4
%ta$ %er%s 14
7/21/2019 Respostas Lista 1 LINGO
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%$iear %er%s 14
>aria&$e >a$)e Re,)0e, %st 266117
" 497888 1 762135 "1 14968 2 87246 "2 247913-1 3 146542 "3 1325586
R%? @$a0A %r @)r'$)s B)a$ :ri0e 1 25367 -1 2 466536 3 469523 4 454193
7/21/2019 Respostas Lista 1 LINGO
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EX 5
M = B* + CBDE* @ + CD3E * M;!Restrições;[R1] =5;[R2] M=1;[R3] @=55;[R4] B=1233425;
G%0a$ %'ti(a$ s%$)ti% %), .&/e0tie a$)e 6176636 easi&i$ities xte,e, s%$er ste's 5 Jest ()$tistart s%$)ti% %), at ste' 1 %ta$ s%$er iterati%s 53 $a'se, r)ti(e se0%,s 36 M%,e$ $ass G: %ta$ aria&$es 1 %$iear aria&$es 1
te<er aria&$es
%ta$ 0%straits 1 %$iear 0%straits 1 %ta$ %er%s 1 %$iear %er%s 1
>aria&$e >a$)e Re,)0e, %st B 1233425
5 1426587 @ 55 M 1
R%? @$a0A %r @)r'$)s B)a$ :ri0e 1 6176636 -1 R1 -1233425 R2 -4755291 R3 -8645984 R4 -5385