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1) How many of X1 should be produced to maximize profit? 2) How many of X2 should be produced to maximize profit? A manufacturer makes

1) How many of X1 should be produced to maximize profit? 2) How many of X2 should be produced to maximize profit?

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A manufacturer makes two products, each requiring time on three different machines. Each unit X1 of product 1 requires four hours of machine 1, one-and-a-half hours on machine 2, and two hours on machine 3; each unit X2 of product 2 requires four-and-a-half hours on machine 1, one hour on machine 2, and three hours on machine 3. Machine 1 is available for 110 hours, Machine 2 for 35 and Machine 3, 65 hours. A unit of X1 is 10 kg while a unit of X2 is 5 kg. In one batch of production, the deliver capacity is 200 kg. The unit profit on Products 1 and 2 are 150 pesos and 120 pesos, respectively

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