Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk in carry out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is .45 and .58 Dial 911. Each serving of Wimpy requires .25 pound of beef, .25 cup of onions, 5 ounces of Kilgore’s special sauce. Each serving of Dial 911 requires .25 pound of beef, .4 cup of onions. 2 ounces of Kilgore’s special sauce and 5 ounces of hot sauce. Today, Kilgore has 20 pounds of beef, 15 cups of onions 88 ounces of Kilgore’s special sauce, and 60 ounces of hot sauce on hand. Max .45x + .58y
Subject to
.25x + .25y <= 20
.25x + .4y <=15
5x + 2y <=88
0x+ 5y <=60
X, y >=0 Please do not use Excel.
A. Develop an LP model that will tell Kilgore how many servings of Wimpy and Dial 911 chili to make in order to maximize profit
B. Find an optimal solution
C. What is the dual value for special sauce? Interpret the dual value.
D. Increase the amount of special sauce available by 1 ounce and resolve. Does the solution confirm the answer to part (C)? Give the new solution.