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
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...
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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
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
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