(a) Develop a linear programming model for this problem; be sure to define the variables in your model. Let 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 X = amount shipped from Omaha to Des Moines X22 = amount shipped from Omaha to Kansas City X23= amount shipped from Omaha to St. Louis Min s.t. X11 X11 X12 X12 *11*12*13*21*22₂*23 20 *12+ + X13 X13 Х13 x21 X21 X22 x22 X23 X23 X23 S S = (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

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

Please see attached file. 

Consider the following network representation of a transportation problem.
45
25
Supplies
Jefferson
City
Omaha
15
10
00
8
8
11
25
Des Moines
Kansas
City
St. Louis
25
The supplies, demands, and transportation costs per unit are shown on the network.
10
35
Demands
Transcribed Image Text:Consider the following network representation of a transportation problem. 45 25 Supplies Jefferson City Omaha 15 10 00 8 8 11 25 Des Moines Kansas City St. Louis 25 The supplies, demands, and transportation costs per unit are shown on the network. 10 35 Demands
(a) Develop a linear programming model for this problem; be sure to define the variables in your model.
Let
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
Min
s.t.
X11
X11
X11 +
+
X12
X12
X11 12 13 X21 X221 X23 20
X12 +
+
X13
X13
X13
x21
X21
X₂1 +
+
+
√x22 +
X22
X22
+
X23
X23
X23
Ś
Ś
=
=
=
(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:(a) Develop a linear programming model for this problem; be sure to define the variables in your model. Let 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 Min s.t. X11 X11 X11 + + X12 X12 X11 12 13 X21 X221 X23 20 X12 + + X13 X13 X13 x21 X21 X₂1 + + + √x22 + X22 X22 + X23 X23 X23 Ś Ś = = = (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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 14 images

Blurred answer
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.