Formulate as a linear programming. Use North-West corner method to obtain the total shipment cost of coal cars.
Formulate as a linear programming. Use North-West corner method to obtain the total shipment cost of coal cars.
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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Question
Solve the following problem:
The Krampf Lines railway company specializes in coal handling. On Saturday, Krampf had empty cars at the following towns in the quantities indicated:
|
Town |
Supply of cars |
|
Morgantown |
35 |
|
Youngstown |
60 |
|
Pitsburg |
25 |
By Monday, the following towns will need cars as follows:
|
Town |
Demand for cars |
|
Coal Valley |
30 |
|
Coal town |
45 |
|
Coal junction |
25 |
|
Coalsburg |
20 |
The result is shown in the table below.
|
To
From
|
Coal Valley |
Coal town |
Coal junction |
Coalsburg |
|
Morgantown |
50 |
30 |
60 |
70 |
|
Youngstown |
20 |
80 |
10 |
90 |
|
Pitsburg |
100 |
40 |
80 |
30 |
Required:
Minimize total miles over which cars are moved to new locations regarding the following:
- Formulate as a linear programming.
- Use North-West corner method to obtain the total shipment cost of coal cars.
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