The utility company serves 3 cities from its 3 power plants. Power plant capacities and energy delivery costs per unit (in$) from every plant to every city are as follows:
|
|
Customer |
|
|
|
|
|
1 |
2 |
3 |
Capacity |
|
1 |
2 |
4 |
4 |
400 |
| Plant |
2 |
6 |
2 |
3 |
520 |
|
3 |
4 |
3 |
2 |
410 |
|
Demand |
340 |
350 |
250 |
|
i) Sketch network representation for the transportation problem.
ii) Prepare linear program to minimize total cost of energy delivery to customers.