Consider the following network representation of a transportation problem. 40 Let 35 Supplies Jefferson City Omaha 15 a 8 8 11 24 Des Moines 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 Kansas City St. Louis 20 15 40 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. Demands
Consider the following network representation of a transportation problem. 40 Let 35 Supplies Jefferson City Omaha 15 a 8 8 11 24 Des Moines 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 Kansas City St. Louis 20 15 40 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. Demands
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:Consider the following network representation of a transportation problem.
40
Let
35
Jefferson
City
Omaha
15
9
8
8
11
24
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
= amount shipped from Omaha to Des Moines
X21
Des Moines
X22
= amount shipped from Omaha to Kansas City
X23 = amount shipped from Omaha to St. Louis
Kansas
City
St. Louis
20
Supplies
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.
15
40
Demands

Transcribed Image Text:Min
s.t.
From Jefferson City
From Omaha
To Des Moines
To Kansas City
To St. Louis
X11 X12, X13X211 X 22 X23 20
10000
(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
Cost
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