The Pyrotec Company develops three electrical products: clocks, toasters, and radios. These three products go through two processes; assembling as well as final product inspection. The three products have the following resource requirements:
Resource Requirements
Assembling (minutes) Inspection (minutes)
Clock 7 2
Radio 10 3
Toaster 5 2
The assembling department has 200 hours of the labor available each and every week and the inspection department has 660 hours of labor available per week. Profit contributions are as follows: $15 per clock, $20 per radio, and $12 per toaster. The company wants to know the optimal product mix to produce per week so as to maximize profits. Clearly explain your decision variables and devise the company's problem as a linear program.