1. 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.

Formulate a linear programming model to determine the number of basketballs and footballs to produce in order to maximize profit. Print your solution in numbers view and formula view.

Print the sensitivity report.

How would your result change if the profit for a basketball changed from $12 to $13?

How would your result change if the profit for a football changed from $16 to $15?

How would your result change if 500 additional pounds of rubber could be obtained?

How would your result change if 500 additional square feet of leather could be obtained?

Use the sensitivity report to determine the sensitivity ranges for the objective function coefficients and constraint quantity values.

Determine the shadow prices for the resources and explain their meaning.

Resource Requirements per Unit Product Basketball Football Rubber (b) Leather (ft.2 4. 2 500 lb