Question: 5 6 Problem 3 (12 marks in total). Consider an optimization problem that you don't know. Below is the final simplex tableau obtained. x1 x2

5 6 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 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 0.666667 -0.33333 0 1.3333 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 0 cj-zi -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 c and c. 0 x3 S4

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