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A company produces three types of diskdrive. X 1 is the number of type-A units,...
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A company produces three types of diskdrive. X1 is the number of type-A units, X2 is the number of type-B units and X3 is the number of type-C units made by the company each day. Each unit of type-A makes €10 profit, each type-B unit makes €16 profit and each type-c unit makes €32 profit.
The table below represents the final table in the simplex method with values given in euro.
S1 is the slack variable relating to assembly, S2 is the slack variable relating to packaging and S3 is the slack variable relating to distribution.
What is the shadow-price for assembly?
Cj |
|
| 10 | 16 | 32 | 0 | 0 | 0 |
Cb | Basis | b | X1 | X2 | X3 | S1 | S2 | S3 |
32 | X3 | 14 | 0 | 0 | 1 | -0.4 | 0.2 | -0.4 |
10 | X1 | 25 | 1 | 0 | 0 | 1 | -0.5 | -0.6 |
16 | X2 | 28 | 0 | 1 | 0 | 0.5 | 0.4 | 1.4 |
| Zj | 1146 | 10 | 16 | 32 | 5.2 | 7.8 | 3.6 |
| Cj - Zj |
| 0 | 0 | 0 | -5.2 | -7.8 | -3.6 |