Question: 4. Consider the following LP: max 2 6x + x s.t; X1 + X2 55 2x1 + x2 56 x1,x2 > 0 After adding slack

4. Consider the following LP: max 2 6x + x s.t;

4. Consider the following LP: max 2 6x + x s.t; X1 + X2 55 2x1 + x2 56 x1,x2 > 0 After adding slack variables S4 and 52, the following optimal tableau is obtained. Z S Rhs 1 0 0 0 0 2 1/2 0 1 S2 3 -1/2 1/2 18. 52 1 13 Use the dual simplex method to answer the following questions. Find the optimal solution to this LP if we add the constraint 3x2 + x3 s 10. b. Find the optimal solution to this LP if we add the constraint x1 - x2 26. c. Find the optimal solution to this LP if we add the constraint 8x1 + x2 $ 12

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