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

Formulate a linear programming model to determine

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

  1. Solve the model graphically.

  1. Solve the model using Excel.

  1. What would be the effect on the optimal solution if the profit for a basketball changed from

$12 to $13? What would be the effect if the profit for a football changed from $16 to $15?

  1. Determine the shadow prices for the resources and explain their meaning.
Southern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resourcesrubber and leather. The resource requirements for each product and the total resources available are as follows: Resource Requirements per Unit Rubber (lb.) Leather (ft.2) Product Basketball Football Total resources available 3 2 500 lb. 4 5 800 ft.? Each basketball produced results in a profit of $12, and each football earns $16 in profit

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