1l Po Adm Ufal 2014.1

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EPC - Modelagem

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Exercícios Resolvidos[1]

Pesquisa+Operacional+ +Lista+de+PO

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1a

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min Z  =  X 1  + 2X 2

X 1  + X 2 ≥ 1 −5X 1  + 2X 2 ≥ −10 3X 1  + 5X 2 ≥ 15 X 1 , X 2 ≥ 0

max Z  = 4X 1  + 8X 2

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 3X 1  + 2X 2 ≤ 18

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EPC - Modelagem

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Exercícios Resolvidos[1]

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30.000 m3

70.000 100.000

85.000 0, 4 m3

m3

Km 2 Kg Kg

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Kg Km 2

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Exercícios Resolvidos[1]

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max Z  = 4X 1  + 4X 2  + 7X 3

X 1  + 7X 2  + 4X 3 ≤ 100 2X 1  + X 2  + 7X 3 ≤ 100 8X 1  + 4X 2  + X 3 ≤ 100 X 1 , X 2 , X 3 ≥ 0

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Exercícios Resolvidos[1]

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min D =  Y  1  + 4Y  2  + 4Y  3  + 5Y  4  + 7Y  5  + 5Y  6

Y  1  + 5Y  2  + 4Y  3 − 2Y  5  + 2Y  6 ≥ 4 3Y  2  + 5Y  3 − Y  4  + Y  5 − 3Y  6 ≥ 5 −4Y  1  + Y  2 − 3Y  3  + Y  5  + 2Y  6 ≥ 1 3Y  1  + 3Y  3  + 2Y  4  + Y  5 − Y  6 ≥ 3 Y  1 − 5Y  2  + 4Y  3  + Y  4  + 2Y  5  + 4Y  6 ≥ −5 Y  1  + 3Y  2  + 1Y  3 − 5Y  4  + 2Y  5  + 5Y  6 ≥ 8 Y  1 , Y  2 , Y  3 , Y  4 , Y  5 , Y  6 ≥ 0

max Z  =  X 1  + X 2

X 1  + X 2 ≤ 10 X 1 , X 2 ≥ 0

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