Question
In: Statistics and Probability
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...
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, on one serving of Dial 911, $.58. Each serving of Wimpy requires .25 pound of beef, .25 cup of onions, and 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.
a. Develop a linear programming model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today.
b. Find an optimal solution.
c. What is the shadow price for special sauce? Interpret the shadow price.
d. Increase the amount of special sauce available by 1 ounce and re-solve. Does the solution confirm the answer to part (c)? Give the new solution.
Solutions
Expert Solution
Let number of Wimpy, Deli offers = W
Let number of Dial 911, Deli offers = D.
The Solver parameters are:
The solution is:
The shadow price for special sauce is 0.09.
Shadow price is the price calculated by increasing the quantity of one of the ingredient.
The new solution is:
Yes, the solution confirm the answer to part (c).
orchestra answered 1 year agoRelated Solutions
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...
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 $0.4, on one serving
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Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...
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 $0.4, on one serving
of Dial 911, $0.53. Each serving of Wimpy requires 0.2 pound of
beef,...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...
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 $0.41, on one serving
of Dial 911, $0.54. Each serving of Wimpy requires 0.21 pound of
beef,...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...
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 $0.42, on one serving
of Dial 911, $0.55. Each serving of Wimpy requires 0.22 pound of
beef,...
Kilgore's Deli is a small delicatessen located near a major university. Kilgore's does a large walk-in...
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 $0.45, on one serving
of Dial 911, $0.58. Each serving of Wimpy requires 0.25 pound of
beef,...
Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in...
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 $0.35, on one serving of Dial
911, $0.59. Each serving of Wimpy requires 0.45 pound of beef,...
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