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:

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 standardform.

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Resource Requirements per Unit Product Rubber (lb.) Leather (ft.2) Basketball Football Total resources available 500 lb. 800 ft.2