Essay
Johnny's apple shop sells homemade apple pies and freshly squeezed apple juice.Each apple pie requires 2 apples, and 1 apple yields 4 ounces of juice.Customers use a self-service dispenser to pour apple juice in a container and are charged by the ounce at a rate of $0.50 per ounce.The contribution to profit of the apple pie, factoring in the apples and remaining ingredients are $2 per pie, and the contribution to profit of freshly squeezed apple juice is $0.20 per ounce.In a given day, there must be at least 100 ounces of apple juice produced and at least 10 apple pies.The company has a supply of 60 apples per day.Formulate this problem as a mixed integer program.Apple pies must be produced in whole quantities, but any positive value is positive for juice production.
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Maximize: 0.2X1 + 2X2
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