The Really Big Shoe is a manufacturer of basketball and football shoes. Ed Sullivan, 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. Sullivan's promotional budget is $30,000,000. The Really Big Shoe 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 while each pair of football requires 1 cc.  Sullivan wants to sponsor as many basketball and football teams as resources allow.   Create a table showing the your variables, objective function, and constraints.  Create a set of linear equations to describe the objective function and the constraints.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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The Really Big Shoe is a manufacturer of basketball and football shoes. Ed Sullivan, 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. Sullivan's promotional budget is $30,000,000. The Really Big Shoe 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 while each pair of football requires 1 cc.  Sullivan wants to sponsor as many basketball and football teams as resources allow.

 

  1. Create a table showing the your variables, objective function, and constraints. 
  2. Create a set of linear equations to describe the objective function and the constraints.



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