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A company produces three types of mobile phone. X 1 is the number of type-A uni...
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A company produces three types of mobile phone. 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 €30 profit, each type-B unit makes €24 profit and each type-c unit makes €12 profit.
Perform one iteration of the simplex method on the data below and hence determine the number of type-B units that must be produced in order to maximise profit.
| Cj | 30 | 24 | 12 | 0 | 0 | 0 | ||
| Cb | Basis | b | X1 | X2 | X3 | S1 | S2 | S3 |
| 24 | X2 | 20 | 0 | 1 | 0.2 | 0.5 | 0 | 0.2 |
| 0 | S2 | 10 | 0 | 0 | 0.4 | 1 | 1 | 0.6 |
| 30 | X1 | 30 | 1 | 0 | 0.2 | 0.4 | 0 | 0.5 |
| Zj | 1380 | 30 | 24 | 10.8 | 24 | 0 | 19.8 | |
| Cj - Zj | 0 | 0 | 1.2 | -24 | 0 | -19.8 |