Question: 5. Consider the linear programming problem given below. Max Z = 5x1 + 6x2 + 4x3 s.t. 3x1 + 4x2 + 2x3 = 120 X1

5. Consider the linear programming problem given

5. Consider the linear programming problem given below. Max Z = 5x1 + 6x2 + 4x3 s.t. 3x1 + 4x2 + 2x3 = 120 X1 + 2x2 + x3 50 X1 + 2x2 + 3x3 > 30 X1, X2, X3 > 0 The optimal simplex tableau is as follows: X X X3 Si S2 S3 Basic CB 5 6 4 0 0 0 Sz 0 0 4 0 -2 7 1 80 ; 4 0 2 1 -1 3 0 30 X1 5 1 0 0 1 -2 0 20 Z; 5 8 4 1 2 0 220 G; 2; 0 -2 0 -1 -2 0 Note: The Aj's are not needed to solve this problem. a) Find the range of cand ca b) Find the range of b1 c) Suppose by is increased to 130, what would the optimal solution and optimal value be

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