Southern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows:
Resource Requirements per Unit
Product Rubber (lb.) Leather (ft.2)
Basketball 3 4
Football 2 5
Total resources available 500 lb. 800 ft.2
Each basketball produced results in a profit of $12, and each football earns $16 in profit.
I have formulated and solved the problem by using QM for Windows. The output from QM for Windows is displayed below.
Linear Programming Results:
Variable Status Value
Basketball NONBasic 0
Football Basic 160
slack 1 Basic 180
slack 2 NONBasic 0
Optimal Value (Z) 2560
Original Problem w/answers:
Basketball Football RHS Dual
Maximize 12 16
Rubber 3 2 <= 500 0
Leather 4 5 <= 800 3.2
Solution-> 0 160 Optimal Z-> 2,560
(a) Determine the optimal solution from the output from QM for Windows.
(b) Make a recommendation to the company based on the output from QM for Windows.