Assignment Questions
Please answer all questions individually and submit your answers by 30th July 2020.
- Five warehouses are supplied by four factories. The supply available from each factory, the demand at each warehouse and the cost per unit of transporting goods from the factories to the
- Use the North-West Corner method to construct an initial basic feasible solution of this problem.
- Produce the optimal solution of this problem that minimises the transportation costs, clearly showing and explaining your working.
- The Cost-Less Corp. supplies its four retail outlets from its three plants. The shipping cost per shipment from each plant to each retail outlet is given below:
| Retail destination | Supply | ||
A | B C | D | ||
Plant X Y
Z Demand
| 3 2 4 | 7 6 4 3 3 8 | 4 2 5 | 5 2 3 |
3 | 3 2 | 2 |
Plants X, Y, and Z make 5, 2, and 3 shipments per month, respectively. Retail outlets A, B, C, and D need to receive 3, 3, 2, and 2 shipments per month, respectively.
The distribution manager, Randy Smith, now wants to determine the best plan for how many shipments to send from each plant to the respective retail outlets each month. Randy’s objective is to minimize the total shipping cost.
- Use the northwest corner rule to construct an initial basic feasible solution.
- Produce the optimal solution of this problem that minimises the transportation costs, clearly showing and explaining your working.
- A company is in the process of preparing a budget for launching a new product. The following
- Draw the project network.
- Find all critical activities, critical path and the duration for the project to be completed.