1. ABC pharmaceutical Company has four factories supplying four warehouses. The company’s management hires you as...
|
Factory |
Supply |
Warehouse |
Demand |
|
Indianapolis |
15 |
Columbus |
10 |
|
Phoenix |
6 |
St. Louis |
12 |
|
New York |
14 |
Denver |
15 |
|
Atlanta |
11 |
Los Angeles |
9 |
|
|
Shipping Costs per case (In Dollars0 |
|||
|
From |
To Columbus |
To St. Louis |
To Denver |
To Los Angeles |
|
Indianapolis |
25 |
35 |
36 |
60 |
|
phoenix |
55 |
30 |
25 |
25 |
|
New York |
40 |
50 |
80 |
90 |
|
Atlanta |
30 |
40 |
66 |
75 |
Homework Answers
a. the optimal schedule can be obtained as given below using VAM
| Shipping Costs per case (In Dollars0 | |||||||||
| From | To Columbus | To St. Louis | To Denver | To Los Angeles | Supply | Penalty1 | Penalty2 | penalty3 | penalty4 |
| Indianapolis | 25 | 35 | 36 (15) | 60 | 15 | 10 | 10 | - | |
| phoenix | 55 | 30 | 25 | 25 (6) | 6 | 0 | - | - | |
| New York | 40 | 50 (12) | 80 | 90(2) | 14 | 10 | 10 | 10 | 40 |
| Atlanta | 30 (10) | 40 | 66 | 75(1) | 11 | 10 | 10 | 36 | 35 |
| Demand | 10 | 12 | 15 | 9 | 46 | ||||
| penalty1 | 5 | 5 | 11 | 35 | |||||
| penalty2 | 5 | 5 | 30 | 15 | |||||
| penalty3 | 10 | 10 | - | 15 | |||||
| penalty4 | - | 10 | - | 15 | |||||
the optimal schedule is
From Indianapolis to Denver- 15 units
From phoenix to Los Angeles - 6 units
From New York to St. Louis- 12 units
From New York to Los Angeles- 2 units
From Atlanta to Columbus- 10 units
From Atlanta to Los Angeles- 1 unit
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1.
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