A Stereo Mail Order Center Has 9,000 Cubic Feet Available

Essay

A stereo mail order center has 9,000 cubic feet available for storage of its private label loudspeakers. The ZAR3 speakers cost $255 each and require 6 cubic feet of space; the ZAR2ax speakers cost $120 each and require 3 cubic feet of space; and the ZAR4 model costs $60 and requires 1 cubic foot of space. The demand for the ZAR3 is at most 30 units per month. The wholesaler has $100,000 to spend on loudspeakers this month. Each ZAR3 contributes $125, each ZAR2ax contributes $55, and each ZAR4 contributes $25. The objective is to maximize total contribution. Formulate this problem as a linear program.