The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas City. The estimated annual fixed cost and the annual capacity for the four proposed plants are as follows: Proposed Plant Detroit Toledo Denver Distribution Center Boston Annual Fixed Cost Atlanta Kansas City The company's long-range planning group developed forecasts of the anticipated annual demand at the distribution centers as follows: Houston $175,000 $300,000 $375,000 $500,000 Annual Capacity 20,000 30,000 40,000 10,000 Annual Demand 20,000 30,000 20,000

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
The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional
distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to
increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas City. The
estimated annual fixed cost and the annual capacity for the four proposed plants are as follows:
Proposed Plant
Detroit
Toledo
Denver
Kansas City
Distribution Center
Boston
Annual Fixed Cost
Atlanta
The company's long-range planning group developed forecasts of the anticipated annual demand at the distribution centers as
follows:
Houston
$175,000
$300,000
$375,000
$500,000
Annual Capacity
20,000
30,000
40,000
10,000
Annual Demand
20,000
30,000
20,000
Transcribed Image Text:The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas City. The estimated annual fixed cost and the annual capacity for the four proposed plants are as follows: Proposed Plant Detroit Toledo Denver Kansas City Distribution Center Boston Annual Fixed Cost Atlanta The company's long-range planning group developed forecasts of the anticipated annual demand at the distribution centers as follows: Houston $175,000 $300,000 $375,000 $500,000 Annual Capacity 20,000 30,000 40,000 10,000 Annual Demand 20,000 30,000 20,000
The shipping cost per unit from each plant to each distribution center is as follows:
Plant Site
Detroit
Toledo
Denver
Kansas City
St. Louis
Boston
5
4
9
10
8
Distribution Centers
Atlanta
2
3
7
4
4
Houston
What is the optimal set of plants to open?
3
4
5
2
3
(a) Develop a mixed-integer programming model that could be used to help Martin-Beck determine which new plant or plants to
open in order to satisfy anticipated demand. Solve the model and answer the following questions. What is the optimal cost?
Detroit & Toledo
(b) Using equation 12.1, find a second-best solution. What is the optimal set of plants to open?
Denver
What is the increase in cost versus the best solution from part (a)?
Transcribed Image Text:The shipping cost per unit from each plant to each distribution center is as follows: Plant Site Detroit Toledo Denver Kansas City St. Louis Boston 5 4 9 10 8 Distribution Centers Atlanta 2 3 7 4 4 Houston What is the optimal set of plants to open? 3 4 5 2 3 (a) Develop a mixed-integer programming model that could be used to help Martin-Beck determine which new plant or plants to open in order to satisfy anticipated demand. Solve the model and answer the following questions. What is the optimal cost? Detroit & Toledo (b) Using equation 12.1, find a second-best solution. What is the optimal set of plants to open? Denver What is the increase in cost versus the best solution from part (a)?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 7 images

Blurred answer
Similar 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.