Question: Consider the following two problems. Primal LP max 2 = x1 + 5x2 X1 + 2x2 0 Optimal solution + (0,3) Dual LP min Z

Consider the following two problems. Primal LP

Consider the following two problems. Primal LP max 2 = x1 + 5x2 X1 + 2x2 0 Optimal solution + (0,3) Dual LP min Z = 6y1 + 5y2 Y1 + y2 > 1 (constraint 1) 2y1 + y2 > 5 (constraint 2) Y1, Y2 > 0 Optimal solution (2.5, 0) (a) (points: 2) What is the slack r of constraint 1 of the dual problem at the dual optimal solution? What is the slack r2 of constraint 2 of the dual problem at the dual optimal solution? (b) (points: 4) Verify that the complementary slackness holds

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