4. (25 points) Consider the following LP max z = s.t. 3x + x + 2x3...
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4. (25 points) Consider the following LP max z = s.t. 3x + x + 2x3 x2 + 2x3 3 -1 +323 -1 -2x1-3x2-2 21, 22, 23 20 (16) (17) (18) (19) (20) (a) Find the dual of the LP. (b) Show that the dual and the primal have the same feasible region. (c) Use Weak Duality to show that the optimal objective function value for the LP and its dual must be 0. 4. (25 points) Consider the following LP max z = s.t. 3x + x + 2x3 x2 + 2x3 3 -1 +323 -1 -2x1-3x2-2 21, 22, 23 20 (16) (17) (18) (19) (20) (a) Find the dual of the LP. (b) Show that the dual and the primal have the same feasible region. (c) Use Weak Duality to show that the optimal objective function value for the LP and its dual must be 0.
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