A manufacturer has two factories, located in Toronto and Winnipeg. Warehouses are located in Moncton, Montreal, and Calgary. Minimum requirements at the three warehouses are for at least 5 000, 8 000, and 7 000 units, respectively. The production capacities of the two factories are 9 000 and 11 000 units, respectively. Shipping costs per unit from each factory to each warehouse are given below: WAREHOUSE Moncton Montreal Calgary FACTORY Toronto $14 $6 $18 Winnipeg $22 $17 $9 The manufacturer wants to determine the optimal shipping schedule that will minimize transportation costs. Formulate the linear programming model for this problem.
A manufacturer has two factories, located in Toronto and Winnipeg. Warehouses are located in Moncton, Montreal, and Calgary. Minimum requirements at the three warehouses are for at least 5 000, 8 000, and 7 000 units, respectively. The production capacities of the two factories are 9 000 and 11 000 units, respectively. Shipping costs per unit from each factory to each warehouse are given below: WAREHOUSE Moncton Montreal Calgary FACTORY Toronto $14 $6 $18 Winnipeg $22 $17 $9 The manufacturer wants to determine the optimal shipping schedule that will minimize transportation costs. Formulate the linear programming model for this problem.
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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A manufacturer has two factories, located in Toronto and Winnipeg. Warehouses are located in Moncton, Montreal, and Calgary. Minimum requirements at the three warehouses are for at least 5 000, 8 000, and 7 000 units, respectively. The production capacities of the two factories are 9 000 and 11 000 units, respectively. Shipping costs per unit from each factory to each warehouse are given below:
|
WAREHOUSE |
|||
|
|
Moncton |
Montreal |
Calgary |
FACTORY |
Toronto |
$14 |
$6 |
$18 |
Winnipeg |
$22 |
$17 |
$9 |
The manufacturer wants to determine the optimal shipping
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