Consider the following network representation of a transportation problem. 25 Des Moines 14 Jefferson 40 City Kansas 15 City 11 25 Omaha 24 St. Louis 25 Supplies Demands The supplies, demands, and transportation costs per unit are shown on the network. (a) Develop a linear programming model for this problem; be sure to define the variables in your model.

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
|×23
X22
X13
X21 +
X11
X12 +
Min
s.t.
X12
X13
X22
X23
+
X11
X21
X21
X22
X11
X23
X12
X13
X11 X12' X13 X21• X22' X23 2 0
(b) Solve the linear program to determine the optimal solution.
Cost
Amount
Jefferson City-Des Moines
Jefferson City-Kansas City
Jefferson City-St. Louis
Omaha-Des Moines
Omaha-Kansas City
Omaha-St. Louis
Total
VI
VI
I|||
+
+
Transcribed Image Text:|×23 X22 X13 X21 + X11 X12 + Min s.t. X12 X13 X22 X23 + X11 X21 X21 X22 X11 X23 X12 X13 X11 X12' X13 X21• X22' X23 2 0 (b) Solve the linear program to determine the optimal solution. Cost Amount Jefferson City-Des Moines Jefferson City-Kansas City Jefferson City-St. Louis Omaha-Des Moines Omaha-Kansas City Omaha-St. Louis Total VI VI I||| + +
Consider the following network representation of a transportation problem.
25
Des Moines
14
Jefferson
40
City
8
Kansas
15
City
8
11
25
Omaha
24
25
St. Louis
Supplies
Demands
The supplies, demands, and transportation costs per unit are shown on the network.
(a) Develop a linear programming model for this problem; be sure to define the variables in your model.
Transcribed Image Text:Consider the following network representation of a transportation problem. 25 Des Moines 14 Jefferson 40 City 8 Kansas 15 City 8 11 25 Omaha 24 25 St. Louis Supplies Demands The supplies, demands, and transportation costs per unit are shown on the network. (a) Develop a linear programming model for this problem; be sure to define the variables in your model.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 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.