Kilgore's Deli is a small delicatessen located near a majoruniversity. Kilgore does a large walk-in carry-out lunch business.The deli offers two luncheon chili specials, Wimpy and Dial 911. Atthe beginning of the day, Kilgore needs to decide how much of eachspecial to make (he always sells out of whatever he makes). Theprofit on one serving of Wimpy is $0.35, on one serving of Dial911, $0.59. Each serving of Wimpy requires 0.45 pound of beef, 0.45cup of onions, and 5 ounces of Kilgore's special sauce. Eachserving of Dial 911 requires 0.45 pound of beef, 0.72 cup ofonions, 1 ounces of Kilgore's special sauce, and 4 ounces of hotsauce. Today, Kilgore has 33 pounds of beef, 47 cups of onions, 81ounces of Kilgore's special sauce, and 48 ounces of hot sauce onhand.

1. Develop an LP model that will tell Kilgore how many servings ofWimpy and Dial 911 to make in order to maximize his profittoday.

Let

W = # of servings of Wimpy to make

D = # of servings of Dial 911 to make

Max	0.35W	+	0.59D
s.t.
	0.45W	+	0.45D	≤		33 (Beef)
	0.45W	+	0.72D	≤		47 (Onions)
	5W	+	1D	≤		81 (Special Sauce)
			4D	≤		48 (Hot Sauce)
			W, D	≥	0

b. Find an optimal solution. Truncate your answers to wholeservings available for sale.

Solution:

W = 13

D = 12

1. What is the optimal profit? Round your answer to the nearestcent.

   Profit = $ __________

2. What is the dual value for special sauce? Round your answer tothe nearest cent.
   
   Dual value for special sauce = $ 0.07
   
3. Increase the amount of special sauce available by 1 ounce. Givethe new solution. Round the answer for profit to the nearestcent.
   
   Solution: W = ________ , D = 12 , Profit = $_________
   
   Does the solution confirm the answer to part (c)?
   
   Dual value is confirmed.