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

Brand:Cost/Gallon

Yodel$1.50

Shotz.90

Rainwater.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 pastfootball games, Betty has determined the maximum customer demand to be 400 gallons ofYodel, 500 gallons ofShotz, and 300 gallons of Rainwater. The tavern has the capacity to stock1,000 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.

b. Solve the model by using the computer.