An appliance manufacturer produces two models of microwave ovens: H and W. Both

Question

An appliance manufacturer produces two models of microwave ovens: H and W. Both models require fabrication and assembly work; each H uses four hours of fabrication and two hours of assembly, and each W uses two hours of fabrication and six hours of assembly. There are 600 fabrication hours available this week and 480 hours of assembly. Each H contributes $40 to profits, and each W contributes $30 to profits. What mix H and W will maximize profits? What is the maximum profit that will be made if this mix is used?

Explanation / Answer

This is a linear programming solution:

In order to solve this, we use the solver available in excel as per the solution below

Hence to maximize the profits, we need to make 132 units of H and 35 units of W

Oven H Oven W Total Max Capacity Decesion Variable 132 36 Contributions 40 30 6360 Fabrication 4 2 600 600 Assembly 2 6 480 480

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