Homework Help is Here – Start Your Trial Now!
Business
Operations Management
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 $0.49, on one serving of Dial 911, $0.55. Each serving of Wimpy requires 0.19 pound of beef, 0.19 cup of onions, and 5 ounces of Kilgore’s special sauce. Each serving of Dial 911 requires 0.19 pound of beef, 0.36 cup of onions, 2 ounces of Kilgore’s special sauce, and 5 ounces of hot sauce. Today, Kilgore has 14 pounds of beef, 14 cups of onions, 84 ounces of Kilgore’s special sauce, and 54 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 + .......D       s.t.               .......W + .......D   ....... (Beef)   .......W + .......D   ....... 10 (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 = $ .......

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 $0.49, on one serving of Dial 911, $0.55. Each serving of Wimpy requires 0.19 pound of beef, 0.19 cup of onions, and 5 ounces of Kilgore’s special sauce. Each serving of Dial 911 requires 0.19 pound of beef, 0.36 cup of onions, 2 ounces of Kilgore’s special sauce, and 5 ounces of hot sauce. Today, Kilgore has 14 pounds of beef, 14 cups of onions, 84 ounces of Kilgore’s special sauce, and 54 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 + .......D       s.t.               .......W + .......D   ....... (Beef)   .......W + .......D   ....... 10 (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 = $ .......

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 107P
See similar textbooks
icon
Related questions
Question

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 $0.49, on one serving of Dial 911, $0.55. Each serving of Wimpy requires 0.19 pound of beef, 0.19 cup of onions, and 5 ounces of Kilgore’s special sauce. Each serving of Dial 911 requires 0.19 pound of beef, 0.36 cup of onions, 2 ounces of Kilgore’s special sauce, and 5 ounces of hot sauce. Today, Kilgore has 14 pounds of beef, 14 cups of onions, 84 ounces of Kilgore’s special sauce, and 54 ounces of hot sauce on hand.

 

  1. 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 + .......D      
    s.t.            
      .......W + .......D   ....... (Beef)
      .......W + .......D   ....... 10 (Onions)
      .......W + .......D   ....... (Special Sauce)
      .......W + .......D   ....... (Hot Sauce)
          W, D ≥ 0  
  2. Find an optimal solution. If required, round your answers to two decimal places.

    W = ......., D = ......., Profit = $ .......

  3. What is the shadow price for special sauce? If required, round your answers to two decimal places.

    $  .......



  4. 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)?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Forecasting
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
SEE MORE TEXTBOOKS