Kilgore's Deli is a small delicatessen located near a majoruniversity. Kilgore's does a large walk-in carry-out lunchbusiness. The deli offers two luncheon chili specials, Wimpy andDial 911. At the beginning of the day, Kilgore needs to decide howmuch of each special to make (he always sells out of whatever hemakes). The profit on one serving of Wimpy is $0.45, on one servingof Dial 911, $0.58. Each serving of Wimpy requires 0.25 pound ofbeef, 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 ofonions, 2 ounces of Kilgore's special sauce, and 5 ounces of hotsauce. Today, Kilgore has 20 pounds of beef, 15 cups of onions, 88ounces of Kilgore's special sauce, and 60 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	W	+	D
   s.t.
   	W	+	D	≤		(Beef)
   	W	+	D	≤		(Onions)
   	W	+	D	≤		(Special Sauce)
   			D	≤		(Hot Sauce)
   			W, D	≥	0

2. Find an optimal solution. Round the answer for profit to thenearest cent and, if required, round the answers for W andD to one decimal place.
   
   Solution: W = , D = , Profit =$  
   
3. What is the dual value for special sauce? Round your answer tothe nearest cent.
   
   Dual value for special sauce = $  
   
4. Increase the amount of special sauce available by 1 ounce. Givethe new solution. Round the answer for profit to the nearestcent.
   
   Solution: W = , D = , Profit =$  
   
   Does the solution confim the answer to part (c)?