Question: 1. Construct the dual problem for this primal problem. 2. Solve both the primal problem and the dual problem graphically. Identify all the basic (corner

1. Construct the dual problem for this primal

1. Construct the dual problem for this primal problem.

2. Solve both the primal problem and the dual problem graphically. Identify all the basic (corner point) solutions (feasible and infeasible) for both problems. Calculate the objective function values for all these solutions.

3. Use the information obtained in part (b) to construct a table listing the complementary basic solutions for these problems.

4. Identify a pair of primal-dual basic solutions where weak-duality holds.

5. Identify a pair of primal-dual basic solutions where strong duality holds.

6. Identify the optimal primal and dual basic solutions, and optimal objective function value.

Consider the following problem: max z = X1 + 2x2 s.t. X1 + 3x2 0

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