2. The following transportation problem is to be solved.
| \(P\) | \(Q\) | \(R\) | Supply |
| \(A\) | 7 | 5 | 7 | 12 |
| \(B\) | 5 | 6 | 5 | 7 |
| \(C\) | 14 | 12 | 9 | 11 |
| Demand | 10 | 9 | 11 | |
A possible north-west corner solution is:
| \(P\) | \(Q\) | \(R\) |
| \(A\) | 10 | 2 | |
| \(B\) | | 7 | 0 |
| \(C\) | | | 11 |
- Use the stepping-stone method once to obtain an improved solution. You must make your shadow costs, improvement indices, entering cell, exiting cell and stepping-stone route clear.
- Demonstrate that your solution is optimal.
(3)