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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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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: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
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
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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