Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...

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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 $0.42, on one servingof Dial 911, $0.55. Each serving of Wimpy requires 0.22 pound ofbeef, 0.22 cup of onions, and 5 ounces of Kilgore’s special sauce.Each serving of Dial 911 requires 0.22 pound of beef, 0.37 cup ofonions, 2 ounces of Kilgore’s special sauce, and 5 ounces of hotsauce. Today, Kilgore has 17 pounds of beef, 12 cups of onions, 86ounces of Kilgore’s special sauce, and 57 ounces of hot sauce onhand.

A) Develop a linear programming model that will tell Kilgore howmany servings of Wimpy and Dial 911 to make in order to maximizehis profit today. If required, round your answers to two decimalplaces. For subtractive or negative numbers use a minus sign evenif there is a + sign before the blank. (Example: -300) Let W =number of servings of Wimpy to make D = number of servings of Dial911 to make

MaxW+D
s.t.
W+D?(Beef)
W+D?(Onions)
W+D?(Special Sauce)
W+D?(Hot Sauce)
W, D?0

B) Find an optimal solution. If required, round your answers totwo decimal places.

W = , D = , Profit = $

C) What is the shadow price for special sauce? If required,round your answers to two decimal places. $ Interpret the shadowprice.

D) The input in the box below will not be graded, but may bereviewed and considered by your instructor. Increase the amount ofspecial sauce available by 1 ounce and re-solve. If required, roundyour answers to two decimal places.

W = , D = , Profit = $

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