A company has four warehouses and six stores. The warehouses altogether have a surplus of 22 units of a given commodity, divided among them as follows: Warehouses 1 2 3 4 Surplus 5 6 2 9 The six stores altogether need 22 units of the commodity. Individual requirements at b stores 1,2,3,4,5 and 6 are 4,4,6,2,4 and 2 units respectively. Cost of shipping one unit of commodity from warehouse i to store j in $ dollars is given in the matrix below. Stores Warehouses 1 2 3 4 5 6 1 9 12 9 6 9 10 2 7 3 7 7 5 5 3 6 5 9 11 3 11 4 6 8 11 2 2 10 Required Formulate the mathematical model for the problem How should the products be shipped from the warehouses to the stores so that the transportation cost is minimum?
A company has four warehouses and six stores. The warehouses altogether have a surplus of 22 units of a given commodity, divided among them as follows:
Warehouses 1 2 3 4
Surplus 5 6 2 9
The six stores altogether need 22 units of the commodity. Individual requirements at b stores 1,2,3,4,5 and 6 are 4,4,6,2,4 and 2 units respectively.
Cost of shipping one unit of commodity from warehouse i to store j in $ dollars is given in the matrix below.
|
|
Stores |
||||||
|
Warehouses |
|
1 |
2 |
3 |
4 |
5 |
6 |
|
1 |
9 |
12 |
9 |
6 |
9 |
10 |
|
|
2 |
7 |
3 |
7 |
7 |
5 |
5 |
|
|
3 |
6 |
5 |
9 |
11 |
3 |
11 |
|
|
4 |
6 |
8 |
11 |
2 |
2 |
10 |
Required
- Formulate the mathematical model for the problem
- How should the products be shipped from the warehouses to the stores so that the transportation cost is minimum?
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