Mrs. Z, vice president for operations of XY, Inc., a manufacturer of imaginary product T, is constrained from meeting her 5-year forecast by limited capacity at the company’s two existing facilities, which are in San Diego, California (F1) and Grenville, South Carolina (F2). As her able assistant, you have been told that because of existing capacity constraints and the expanding market for the company’s product, a third plant is to be added. The real estate department has advised Mrs. Z that two potential sites seem particularly good, located in Waco, Texas (F3), and Norfolk, Nebraska (F4). The company ships the products to three demand markets in East (M1), Mid-West (M2), and West (M3), via its two cross-docking distribution centers in Colorado (D1) and Kentucky (D2). You are asked to find the optimal distribution strategy that will determine where the third facility be located (F3 or F4), and the best distribution pattern across the supply chain. The company consider the transportation cost as the performance measure. Consider the following data in solving this problem. Given are transportation Cost ($ per unit), capacity, and demand figures. From Facilities to Distribution Centers Distribution From Distribution Centers to Market F1 F2 F3 F4 Centers M1 M2 M3 4 6 5 3 DC1 6 4 5 7 3 6 8 DC2 3 5 8 Capacity Available   Demand 140,000 60,000 80,000 80,000   80,000 130,000 70,000   Display the supply chain network for this problem Formulate the problem into linear programming. Define Variables Write the objective function Define the constraints and formulate them Find the optimum solution using Excel Solver

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question

Mrs. Z, vice president for operations of XY, Inc., a manufacturer of imaginary product T, is constrained from meeting her 5-year forecast by limited capacity at the company’s two existing facilities, which are in San Diego, California (F1) and Grenville, South Carolina (F2). As her able assistant, you have been told that because of existing capacity constraints and the expanding market for the company’s product, a third plant is to be added. The real estate department has advised Mrs. Z that two potential sites seem particularly good, located in Waco, Texas (F3), and Norfolk, Nebraska (F4). The company ships the products to three demand markets in East (M1), Mid-West (M2), and West (M3), via its two cross-docking distribution centers in Colorado (D1) and Kentucky (D2). You are asked to find the optimal distribution strategy that will determine where the third facility be located (F3 or F4), and the best distribution pattern across the supply chain. The company consider the transportation cost as the performance measure. Consider the following data in solving this problem. Given are transportation Cost ($ per unit), capacity, and demand figures.

From Facilities to Distribution Centers

Distribution

From Distribution Centers to Market

F1

F2

F3

F4

Centers

M1

M2

M3

4

6

5

3

DC1

6

4

5

7

3

6

8

DC2

3

5

8

Capacity Available

 

Demand

140,000

60,000

80,000

80,000

 

80,000

130,000

70,000

 

  1. Display the supply chain network for this problem
  2. Formulate the problem into linear programming.
    1. Define Variables
    2. Write the objective function
    3. Define the constraints and formulate them
  3. Find the optimum solution using Excel Solver

 

Expert Solution
steps

Step by step

Solved in 7 steps with 8 images

Blurred answer
Knowledge Booster
Pricing
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.