Question: 2 (ii) Consider the following simplex tableau, which has arisen in a minimization prob- lem: Ii 22 T3 24 15 26 R.H.S. Basic var. 1

2 (ii) Consider the following simplex tableau,

2 (ii) Consider the following simplex tableau, which has arisen in a minimization prob- lem: Ii 22 T3 24 15 26 R.H.S. Basic var. 1 0 -2 0 0 0 -1 -7 2 = -7 0 0 -2 1 1 1 2 5 0 1 2 1 0 2 3 8 24 = 5 X1 = 8 Note that this table displays an optimal solution. a) Compute an alternative optimal basic feasible solution for this problem. [5 marks] b) Hence give an example, with justification, of an optimal solution which is not a basic feasible solution. [3 marks]

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