A Stereo Mail Order Centre Has 8,000 Cubic Feet Available

Essay

A stereo mail order centre has 8,000 cubic feet available for storage of its private label loudspeakers. The ZAR3 speakers cost $295 each and require 4 cubic feet of space; the ZAR2ax speakers cost $110 each and require 3 cubic feet of space; and the ZAR4 model costs $58 and requires 1 cubic foot of space. The demand for the ZAR3 is at most 20 units per month. The wholesaler has $100,000 to spend on loudspeakers this month. Each ZAR3 contributes $105, each ZAR2ax contributes $50, and each ZAR4 contributes $28. The objective is to maximize total contribution. Write out the objective and the constraints.