(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
(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...
Related questions
Question
Please see attached file.

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

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

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 14 images

Recommended textbooks for you

Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,

Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education

Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,

Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education


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…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.