Question: Consider the linear program given in Exercise 4.1 (modified by adding 24 > 0 to the list of sign constraints. Construct the dual problem. Find

Consider the linear program given in Exercise 4.1

Consider the linear program given in Exercise 4.1 (modified by adding 24 > 0 to the list of sign constraints. Construct the dual problem. Find a non-optimal feasible solution for the primal and another for the dual. Compare your solutions and comment on the weak duality theorem. Now find the optimal solutions for both the primal and dual problems. Compare your solutions and comment on the strong duality theorem and the complementary slackness theorem. Consider the linear program given in Exercise 4.1 (modified by adding 24 > 0 to the list of sign constraints. Construct the dual problem. Find a non-optimal feasible solution for the primal and another for the dual. Compare your solutions and comment on the weak duality theorem. Now find the optimal solutions for both the primal and dual problems. Compare your solutions and comment on the strong duality theorem and the complementary slackness theorem

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