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.

a. Formulate a linear programming model to determine the number of basketballs and footballs to produce in order to maximize profit.

b. Transform this model into standard form.

 LO.1