Question: Problem 3 (12 marks in total}. Consider an optimization problem that you don't know. Below is the nal simplex tableau obtained. X1 x3 81 82

Problem 3 (12 marks in total}. Consider an optimization problem that you don't know. Below is the nal simplex tableau obtained. X1 x3 81 82 S3 S4 CB RHS Basis 3 6 0 0 0 0 $1 0 1.3333 0 1 -{}.33333 -{}.33333 0 1.3333 X2 5 0.3333 0 0 0.66666?' -{}.33 333 0 1.3333 X3 6 0.3333 1 0 -{}.3 3333 0.66666? 0 1.3333 S4 0 0.3333 0 0 -0.33333 -0.33333 1 0.3333 cj-zj -0.666? 0 0 -1.33333 -2.33333 0 14.666? (a) (2 marks) Is it a maximization or a minimization problem? Why? (b) (2 marks) What is the optimal solution found? What is the optimal value of the problem? (c) (8 marks) Find the range of optimality for (:2 and C3
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