The distribution system for the company comprises of 2 plants, 3 warehouses and 3 customers. Plant capacities and shipping costs per unit (in$) from every plant to every warehouse are as follows:
|
|
|
Warehouse |
|
|
|
|
1 |
2 |
3 |
Capacity |
| Plant |
1 |
4 |
3 |
5 |
650 |
|
2 |
6 |
2 |
4 |
450 |
Customer Demand and shipping costs per unit (in$) from every warehouse to customer are:
|
|
|
Customer |
|
|
|
1 |
2 |
2 |
|
1 |
1 |
- |
5 |
| Warehouse |
2 |
7 |
3 |
3 |
|
3 |
4 |
2 |
2 |
|
Demand |
310 |
270 |
420 |
Because of technical reasons items can't be shipped from Warehouse-1 to Customer-2 temporarily. Additionally, direct shipments can be made from Plant-1 to Customer-1 at the cost of $4 per unit and from Plant-2 to Customer-3 at the cost of $2 per unit. Sketch the network represenation and Prepare the linear programming model for problem.