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# Preemptive goal programming model

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Highland Appliance must determine how many color TV's and VCR's should be stocked. It cost highland \$300 to purchase a color TV and \$200 to purchase a VCR. A color TV requires 3 square yards of storage space. A VCR requires 1 square yard of storage space. The sale of a color TV earns Highland a profit of \$150, and the sale of a VCR earns \$100. Highland has set the following goals in order of importance:

Goal 1: A maximum of \$20,000 can be spent on purchasing color TVs and VCRs
Goal 2: Highland should earn at least \$11,000 in profits from the sale of color TVs and VCRs
Goal 3: Color Tvs and VCRs should not use up more than 200 square yards of storage space.

Formulate a preemptive goal programming model and solve to determine if trhe goals can be achieved

https://brainmass.com/math/basic-calculus/preemptive-goal-programming-model-626475

#### Solution Preview

Let t denote the no. of TVs purchased by Highland Appliance, and let v denote the no. of VCRs they purchase.

Goal 1 would then be expressed as \$300(t) + \$200(v) <= ...

#### Solution Summary

The given data are used to set up the model and explain whether or not the stated goals can be achieved.

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