Question: Problem 3 (12 marks in total). Consider an optimization problem that you don't know. Below is the final simplex tableau obtained. x1 x2 x3 Si

Problem 3 (12 marks in total). Consider an

Problem 3 (12 marks in total). Consider an optimization problem that you don't know. Below is the final simplex tableau obtained. x1 x2 x3 Si S2 S3 S4 CB RHS Basis 3 5 6 0 0 0 0 Si 0 1.3333 0 0 1 -0.33333 -0.33333 0 1.3333 x2 5 0.3333 1 0 0 0.666667 -0.33333 0 1.3333 x3 6 0.3333 0 1 0 -0.33333 0.666667 0 1.3333 0.3333 0 0 0 -0.33333 -0.33333 1 0.3333 S4 0 cj-zj -0.6667 0 0 0 -1.33333 -2.33333 0 14.6667 (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 c2 and c3

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