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Linear programming

(See attached file for full problem description)

Problem 5

The 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.

1. Problem 6 -

For this problem, you will need to do problem 5. The solution is provided below.

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