Question
In: Economics
Problem 9-05 (Algorithmic) Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does...
Problem 9-05 (Algorithmic)
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 $0.51, on one serving of Dial 911, $0.69. Each serving of Wimpy requires 0.21 pound of beef, 0.21 cup of onions, and 5 ounces of Kilgore’s special sauce. Each serving of Dial 911 requires 0.21 pound of beef, 0.38 cup of onions, 2 ounces of Kilgore’s special sauce, and 5 ounces of hot sauce. Today, Kilgore has 25 pounds of beef, 20 cups of onions, 75 ounces of Kilgore’s special sauce, and 53 ounces of hot sauce on hand.
- 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. If required, round your answers to two decimal
places. For subtractive or negative numbers use a minus sign even
if there is a + sign before the blank. (Example: -300)
Let W = number of servings of Wimpy to make D = number of servings of Dial 911 to make Max W + fill in the blank 2D s.t. W + D ≤ (Beef) W + D ≤ (Onions) W + D ≤ (Special Sauce) W + D ≤ (Hot Sauce) W, D ≥ 0 - Find an optimal solution. If required, round your answers to
two decimal places.
W = , D = , Profit = $ - What is the shadow price for special sauce? If required, round
your answers to two decimal places.
Interpret the shadow price.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
- Increase the amount of special sauce available by 1 ounce and
re-solve. If required, round your answers to two decimal
places.
W = , D = , Profit = $
Does the solution confirm the answer to part (c)?
Solutions
Expert Solution
a)
|
Let |
X1 = number of servings of Wimpy to make |
|
X2 = number of servings of Dial 911 to make |
|
X1 |
X2 |
||||
|
Beef |
0.24 |
0.24 |
5.9232 |
<= |
19 |
|
Onions |
0.24 |
0.39 |
7.6932 |
<= |
14 |
|
SS |
5 |
2 |
88 |
<= |
88 |
|
HS |
0 |
5 |
59 |
<= |
59 |
|
Profit |
0.44 |
0.57 |
12.3932 |
||
|
Decision Variables |
12.88 |
11.8 |
|||
|
|
Rahul Sunny 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
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 $0.4, 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 $.45, on one serving
of Dial 911, $.58. Each serving of Wimpy requires .25 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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