# Question: Consider the three variable linear programming problem shown in Fig 5 2

Consider the three-variable linear programming problem shown in Fig. 5.2.

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Consider the following problem. Minimize Z = 3x1 + 2x2, Subject to and x1 ≥ 0, x2 ≥ 0. Construct a pair of primal and dual problems, each with two decision variables and two functional constraints, such that the primal problem has no feasible solutions and the dual problem has an unbounded objective function. Consider the model with two functional constraints and two variables given in Prob. 4.1-5. Follow the instructions of Prob. 6.3-1 for this model. In problem (a) Construct the dual problem for this primal problem. Consider the model given in Prob. 3.1-5. (a) Construct the dual problem for this model. Consider the model without nonnegativity constraints given in Prob. 4.6-14. (a) Construct its dual problem. (b) Demonstrate that the answer in part (a) is correct (i.e., variables without nonnegativity constraints yield ...Post your question