Assignment:
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.
Provide complete and step by step solution for the question and show calculations and use formulas.