# solution

A linear programming computer package is needed. Kilgore’s Deli is a small delicatessen located near a major university. Kilgore 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 \$0.46, on one serving of Dial 911, \$0.59. Each serving of Wimpy requires 0.25 pound of beef, 0.25 cup of onions, and 5 ounces of Kilgore’s special sauce. Each serving of Dial 911 requires 0.25 pound of beef, 0.4 cup of onions, 2 ounces of Kilgore’s special sauce, and 5 ounces of hot sauce. Today, Kilgore has 18 pounds of beef, 13 cups of onions, 86 ounces of Kilgore’s special sauce, and 58 ounces of hot sauce on hand.

(a) Develop an LP model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today. (Let W = the number of servings of Wimpy to make and let D = the number of servings of Dial 911 to make.) Max 5.t. Beef Onions Special Sauce Hot Sauce W, D 20
(b) Find an optimal solution. (Round your answers to two decimal places.) (W, D) – Profit = \$ (c) What is the dual value for special sauce? (Round your answer to two decimal places.)
(c) What is the dual value for special sauce? (Round your answer to two decimal places.) \$ Interpret the dual value. For every 1 ounce increase in —Select— the profit will —Select— v by \$
(d) Increase the amount of special sauce available by 1 ounce and re-solve.