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Consider the following network representation of a transportation problem: Des Moines 475 266 Jefferson 570 171 City 133 Kansas 152, 285 City 190 380 Omaha 95 St. Louis 190 Supplies Demands 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. If constant is "1", it must be entered in the Let xij = amount shipped from supply node i to demand node j. Min 266 X11+ 171 X12+ 133 x13 + 152 X21+ 190 x22 + 95 X23 s.t. 1 x11+ 1 x12 + 1 x13 570 1 x21 + 1 x22 + 1 x23S 380 1 x11 1 X21 1 X12 1 X22 1 1 X13 + 1 X23 1 X11, X12, Х13, X21, X22, X23 2 0 b. Solve the linear program to determine the optimal solution. Enter "0" if your answer is zero. Quantity Cost Jefferson City - Des Moines 2$ Jefferson City - Kansas City Jefferson City - St. Louis Omaha - Des Moines Omaha - Kansas City

Consider the following network representation of a transportation problem: Des Moines 475 266 Jefferson 570 171 City 133 Kansas 152, 285 City 190 380 Omaha 95 St. Louis 190 Supplies Demands 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. If constant is "1", it must be entered in the Let xij = amount shipped from supply node i to demand node j. Min 266 X11+ 171 X12+ 133 x13 + 152 X21+ 190 x22 + 95 X23 s.t. 1 x11+ 1 x12 + 1 x13 570 1 x21 + 1 x22 + 1 x23S 380 1 x11 1 X21 1 X12 1 X22 1 1 X13 + 1 X23 1 X11, X12, Х13, X21, X22, X23 2 0 b. Solve the linear program to determine the optimal solution. Enter "0" if your answer is zero. Quantity Cost Jefferson City - Des Moines 2$ Jefferson City - Kansas City Jefferson City - St. Louis Omaha - Des Moines Omaha - Kansas City

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 72P
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Consider the following network representation of a transportation problem:

Consider the following network representation of a transportation problem: Des Moines 475 266 Jefferson 570 171 City 133 Kansas 152 285 City 190 380 Omaha 95 St. Louis 190 Supplies Demands 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. If constant is "1", it must be entered in the box. Let xij = amount shipped from supply node i to demand node j. Min 266 x11 + 171 x12 + 133 x13 + 152 x21+ 190 x22|+ 95 x23 s.t. X11+ 1 X12 + 1 X13 570 1. X21+ 1 x22 + 1 x23< 380 1 x11 1 x21 1 1 x12 1 x22 1 = 1 x13 1 x23 = 1 X11, X12, X13, X21, X22, X23 2 0 b. Solve the linear program to determine the optimal solution. Enter "0" if your answer is zero. Quantity Cost Jefferson City - Des Moines Jefferson City - Kansas City Jefferson City - St. Louis Omaha - Des Moines Omaha - Kansas City
Transcribed Image Text:Consider the following network representation of a transportation problem: Des Moines 475 266 Jefferson 570 171 City 133 Kansas 152 285 City 190 380 Omaha 95 St. Louis 190 Supplies Demands 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. If constant is "1", it must be entered in the box. Let xij = amount shipped from supply node i to demand node j. Min 266 x11 + 171 x12 + 133 x13 + 152 x21+ 190 x22|+ 95 x23 s.t. X11+ 1 X12 + 1 X13 570 1. X21+ 1 x22 + 1 x23< 380 1 x11 1 x21 1 1 x12 1 x22 1 = 1 x13 1 x23 = 1 X11, X12, X13, X21, X22, X23 2 0 b. Solve the linear program to determine the optimal solution. Enter "0" if your answer is zero. Quantity Cost Jefferson City - Des Moines Jefferson City - Kansas City Jefferson City - St. Louis Omaha - Des Moines Omaha - Kansas City
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ISBN:
9781337406659
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