Consider the following network representation of a transportation problem. Let Min 40 s.t. 35 Supplies From Jefferson City From Omaha To Des Moines Jefferson City To Kansas City Omaha To St. Louis 14 9 X11 = amount shipped from Jefferson City to Des Moines X12 = amount shipped from Jefferson City to Kansas City X13 amount shipped from Jefferson City to St. Louis X21 amount shipped from Omaha to Des Moines X22 amount shipped from Omaha to Kansas City = amount shipped from Omaha to St. Louis X23 8 8 11 ☐☐☐☐☐ 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 24 Des Moines Kansas City St. Louis 25 10 40 Demands

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
Consider the following network representation of a transportation problem.
Let
Min
40
s.t.
35
Supplies
From Jefferson City
From Omaha
To Des Moines
Jefferson
City
To Kansas City
Omaha
To St. Louis
14
9
8
X11
= amount shipped from Jefferson City to Des Moines
X12
= amount shipped from Jefferson City to Kansas City
X13
= amount shipped from Jefferson City to St. Louis
X21 amount shipped from Omaha to Des Moines
X22
= amount shipped from Omaha to Kansas City
X23
= amount shipped from Omaha to St. Louis
8
11
24
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.
Des Moines
Kansas
City
St. Louis
25
10
40
Demands
Transcribed Image Text:Consider the following network representation of a transportation problem. Let Min 40 s.t. 35 Supplies From Jefferson City From Omaha To Des Moines Jefferson City To Kansas City Omaha To St. Louis 14 9 8 X11 = amount shipped from Jefferson City to Des Moines X12 = amount shipped from Jefferson City to Kansas City X13 = amount shipped from Jefferson City to St. Louis X21 amount shipped from Omaha to Des Moines X22 = amount shipped from Omaha to Kansas City X23 = amount shipped from Omaha to St. Louis 8 11 24 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. Des Moines Kansas City St. Louis 25 10 40 Demands
(b) Solve the linear program to determine the optimal solution.
Jefferson City-Des Moines
Jefferson City-Kansas City
Jefferson City-St. Louis
Omaha-Des Moines
Omaha-Kansas City
Omaha-St. Louis
Total
Amount
INADO
Cost
Transcribed Image Text:(b) Solve the linear program to determine the optimal solution. Jefferson City-Des Moines Jefferson City-Kansas City Jefferson City-St. Louis Omaha-Des Moines Omaha-Kansas City Omaha-St. Louis Total Amount INADO Cost
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 5 images

Blurred answer
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.