a. Solve the previously formulated model (Eagle Tavern) by using Excel and POM-QM, the optimal solution is

x1=400, x2=500, x3=1900

x1=400, x2=500, x3=300

There is no feasible solution

x1=400, x2=500, x3=100

b. Based on the optimal solution to the previous formulated model (Eagle Tavern), the maximum profit the tavern can make is

$1525

$2625

$2750

It does not exist since there is no feasible solution to the problem

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 shown in table below. 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 decide on the number of gallons of each brand of beer to order so as to make the most profit. Formulate a linear programming model for this problem. Define x1 as the number of gallons of Yodel to order, x2 as the number of gallons of Shotz to order, x3 as the number of gallons of Rainwater to order, and Z as the total profit. Which of the following model formulations is correct? MaximizeZ=31+2.52Subjectto1+2+x31.51+.92+.53x1>x2x3x1,2,andx3+1.753=500>=300>=0 MaximizeZ=31+2.52Subjectto1+2+31.51+.92+.53x1+1.753=1000=0 MaximizeZ=1.51+1.62+1.253Subjecttox1+x2+x3=400x2>=500x3>=300x1,x2,andx3>=0