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A company produces three types of oven. X 1 is the number of type-A units, X 2 ...
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A company produces three types of oven. 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 €40 profit and each type-c unit makes €50 profit.
Perform one iteration of the simplex method on the data below and hence determine the number of type-C ovens the company should produce inorder to maximise profits.
| Cj | 30 | 40 | 50 | 0 | 0 | 0 | ||
| Cb | Basis | b | X1 | X2 | X3 | S1 | S2 | S3 |
| 50 | X3 | 20 | 0.2 | 0 | 1 | 0.6 | 0 | 0.2 |
| 0 | S2 | 10 | 0.5 | 0 | 0 | 0.2 | 1 | -2.4 |
| 40 | X2 | 30 | 0.4 | 1 | 0 | -0.5 | 0 | 0.5 |
| Zj | 2200 | 26 | 40 | 50 | 10 | 0 | 30 | |
| Cj - Zj | 4 | 0 | 0 | -10 | 0 | -30 |