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S1 is the slack variable relating to assembly, S2 is the slack variable relating to testing and S3 is the slack variable relating to packaging.
Perform one iteration of the simplex method on the data below and determine the shadow-price for assembly.
Cj |
|
| 30 | 24 | 12 | 0 | 0 | 0 |
Cb | Basis | b | X1 | X2 | X3 | S1 | S2 | S3 |
30 | X1 | 100 | 1 | 0.5 | 0.8 | 0.25 | 0 | 0 |
0 | S2 | 80 | 0 | 2 | 2 | 0.6 | 1 | 0 |
0 | S3 | 300 | 0 | 6 | 9 | 0.25 | 0 | 1 |
| Zj | 3000 | 30 | 15 | 24 | 7.5 | 0 | 0 |
| Cj - Zj |
| 0 | 9 | -12 | -7.5 | 0 | 0 |