Highland Appliance must determine how many colorTVs and VCRs should be stocked. It costs Highland $300to purchase a color TV and $200 to purchase a VCR. Acolor TV requires 3 sq yd of storage space, and a VCRrequires 1 sq yd of storage space. The sale of a color TVearns Highland a profit of $150, and the sale of a VCR earnsHighland a profit of $100. Highland has set the followinggoals (listed 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 profitsfrom the sale of color TVs and VCRs.Goal 3 Color TVs and VCRs should use no more than 200sq yd of storage space.Formulate a preemptive goal programming model that Highland could use to determine how many color TVs and VCRsto order. How would the preemptive goal formulation be modifiedif Highland’s goal were to have a profit of exactly $11,000?
Highland Appliance must determine how many color
TVs and VCRs should be stocked. It costs Highland $300
to purchase a color TV and $200 to purchase a VCR. A
color TV requires 3 sq yd of storage space, and a VCR
requires 1 sq yd of storage space. The sale of a color TV
earns Highland a profit of $150, and the sale of a VCR earns
Highland a profit of $100. Highland has set the following
goals (listed 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 use no more than 200
sq yd of storage space.
Formulate a preemptive goal programming model that Highland could use to determine how many color TVs and VCRs
to order. How would the preemptive goal formulation be modified
if Highland’s goal were to have a profit of exactly $11,000?
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