The Apple Electronics Company, produces two products: (1) the Apple x-pod and (2) the apple Blueberry. The production process for each product is similar in that both require a certain number of hours of electronic work and a certain number of labour-hours in the assembly department. Each x-pod takes 4 hours of electronic work and 2 hours in the assembly shop. Each Blueberry requires 3 hours in electronics and 1 hour in assembly. During the current production period, 240 hours of electronic time are available, and 100 hours of assembly department time are available. Each x-pod sold yields a profit of $7; each BlueBerry produced may be sold for a $5 profit. The company’s problem is to determine the best possible combination of x-pods and BlueBerrys to manufacture to reach the maximum profit. This product-mix situation can be formulated as a linear programming problem

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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The Apple Electronics Company, produces two products: (1) the
Apple x-pod and (2) the apple Blueberry. The production process for each product is
similar in that both require a certain number of hours of electronic work and a certain number
of labour-hours in the assembly department. Each x-pod takes 4 hours of electronic work and
2 hours in the assembly shop. Each Blueberry requires 3 hours in electronics and 1 hour in
assembly. During the current production period, 240 hours of electronic time are available,
and 100 hours of assembly department time are available. Each x-pod sold yields a profit
of $7; each BlueBerry produced may be sold for a $5 profit.
The company’s problem is to determine the best possible combination of x-pods and
BlueBerrys to manufacture to reach the maximum profit. This product-mix situation can be
formulated as a linear programming problem.

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