Consider the following network representation of a transportation problem: Des Moines 25 14 Jefferson 30 City Kansas City 15 10 20 Omaha St. Louis 10 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. þ. Solve the linear program to determine the optimal solution.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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Question
4.
Consider the following network representation of a transportation
problem:
Des Moines
25
14
Jefferson
30
City
Kansas
of
City
15
10
20
Omaha
St. Louis
10
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. þ. Solve the linear program to determine
the optimal solution.
Transcribed Image Text:4. Consider the following network representation of a transportation problem: Des Moines 25 14 Jefferson 30 City Kansas of City 15 10 20 Omaha St. Louis 10 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. þ. Solve the linear program to determine the optimal solution.
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