A product is produced at three plants and shipped to three warehouses. Plant capacity, warehouse demands and transportation costs per unit are shown in the table. Plant Warehouse A B C Plant Capacity 1 20 16 26 500 2 10 14 8 500 3 12 18 6 400 Warehouse Demands 200 600 600 a) Find an initial feasible solution and calculate the cost for this solution. b) If improvement can be made, make one step improvement to the solution in part a, and calculate the cost for the improved solution.
A product is produced at three plants and shipped to three warehouses. Plant capacity, warehouse demands and transportation costs per unit are shown in the table. Plant Warehouse A B C Plant Capacity 1 20 16 26 500 2 10 14 8 500 3 12 18 6 400 Warehouse Demands 200 600 600 a) Find an initial feasible solution and calculate the cost for this solution. b) If improvement can be made, make one step improvement to the solution in part a, and calculate the cost for the improved solution.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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A product is produced at three plants and shipped to three warehouses. Plant capacity, warehouse demands and transportation costs per unit are shown in the table.
Plant |
Warehouse |
|||
|
A |
B |
C |
Plant Capacity |
1 |
20 |
16 |
26 |
500 |
2 |
10 |
14 |
8 |
500 |
3 |
12 |
18 |
6 |
400 |
Warehouse Demands |
200 |
600 |
600 |
|
a) Find an initial feasible solution and calculate the cost for this solution.
b) If improvement can be made, make one step improvement to the solution in part a, and calculate the cost for the improved solution.
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