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Practice setting up linear programming models for business applications 

 

Select an even-numbered LP problem from the text, excluding 14, 20, 22, 36 (which are part of your homework assignment). Formulate a linear programming model for the problem you select.


Problem 12

 

Betty Malloy, owner of the Eagle Tavern in Pittsburgh, is preparing for Super Bowl Sunday, and she must determine how much beer to stock. Betty stocks three brands of beer

 

- Yodel, Shotz, and Rainwater. The cost per gallon (to the tavern owner) of each brand is as follows :     

 

Brand                          Cost/Gallon

 

Yodel                          $1.50

 

Shotz                           $0.90

 

Rainwater                    $0.50

 

The tavern has a budget of $2,000 for beer for Super Bowl Sunday. Betty sells Yodel at a rate of $3.00 per gallon, Shotz at $2.50 per gallon, and Rainwater at $1.75 per gallon. Based on past football games, Betty has determined the maximum customer demand to be 400 gallons of Yodel, 500 gallons of Shotz, and 300 gallons of Rainwater. The tavern has the capacity to stock 1,000 gallons of beer; Betty wants to stock up completely. Betty wants to determine the number of gallons of each brand of beer to order so as to maximize profit.                                                  

 

a. Formulate a linear programming model for this problem.    
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