The Sports Shoe Company is a manufacturer of basketball and football shoes. The manager of marketing must decide the best way to spend advertising resources. Each football team sponsored requires 120 pairs of shoes. Each basketball team requires 32 pairs of shoes. Football coaches receive $300,000 for shoe sponsorship and basketball coaches receive $1,000,000. The manager’s promotional budget is $30,000,000. The company has a limited supply (4 liters or 4000 cubic centimeters) of flubber a rare and costly compound used in promotional athletic shoes. Each pair of basketball shoes requires 3 cc of flubber, and each pair of football shoes requires 1 cc. The manager wants to sponsor as many basketball and football teams as resources will allow.

a. Create a set of linear equations to describe the objective function and the constraints.

b. Use graphic analysis to find the visual solution,

c. What is the maximum number of each type of team that the company can sponsor?