Test

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Douglas Martins

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11) RESPOSTA:Min Z = 3x
1
+ 2x
2
Sujeito a: 5x
1
+ x
2

≥
102x
1
+ 2x
2

≥
12x
1
+ 4x
2

≥
12x
1
≥
0x
2
≥
012) RESPOSTA:Max Z = 1000x
1
+ 1800x
2
Sujeito a: 20x
1
+ 30x
2

≤
1200x
1 ≤
40x
2 ≤
30x
1
≥
0x
2
≥
013) RESPOSTA:Max Z = 120x
1
+ 100x
2
Sujeito a: 2x
1
+ x
2

≤
90x
1
+ 2x
2

≤
80x
1
+ x
2

≤
50x
1
≥
0x
2
≥
014) RESPOSTA:Max Z = 60x
1
+ 40x
2
Sujeito a: 10x
1
+ 10x
2

≤
1003x
1
+ 7x
2

≤
42x
1
≥
0x
2
≥
015) RESPOSTA:Max Z = 2100x
1
+ 1200x
2
+ 600x
3
Sujeito a: 6x
1
+ 4x
2
+ 6x
3
≤
480012x
1
+ 6x
2
+ 2x
3
≤
7200x
1 ≤
800x
2 ≤
600x
3
≤
600x
1
≥
0x
2
≥
0x
3
≥
0

16) RESPOSTA:Max Z = 0,30x
1
+ 0,25x
2
+ 0,20x
3
Sujeito a: 0,22x
1
+ 0,52x
2
+ 0,74x
3

≤
9.600.0000,50x
1
+ 0,34x
2
+ 0,20x
3

≤
4.800.0000,28x
1
+ 0,14x
2
+ 0,06x
3

≤
2.200.000x
3 ≥
16x
1 x
2
≤
600.000

x
1
≥
0x
2
≥
0x
1
≥
0

LISTA DE EXERCÍCIOS 2 – PESQUISA OPERACIONAL – MODELAGEM1) Uma pequena metalúrgica deseja maximizar sua receita com a venda de dois tipos de finas fitas deaço que se diferenciam em qualidade no acabamento de corte. As fitas são produzidas a partir do cortede bobinas de grande largura. Existem duas máquinas em operação. Uma das máquinas é mais antiga e permite o corte diário de 4000m de fita. A outra, mais nova, corta até 6000m. A venda das chapas nomercado varia com a qualidade de cada uma. Fitas produzidas na máquina antiga permitem um lucro de3 u.m por mil metros de produção. Fitas cortadas na máquina mais moderna produzem um lucro de 5u.m por mil metros de produção. Cada mil metros de fita cortada na máquina antiga consome 3 homensx hora de

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