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Problem 2. (20 marks) Consider the following linear programming problem, min 2y13y2 s.t. 2y1 y2 y3 3 Y1Y2Y32 Y1, Y2, Y3 0. (a) Find

Problem 2. (20 marks) Consider the following linear programming problem, min 2y13y2 s.t. 2y1 y2 y3 3 Y1Y2Y32 Y1, Y2, Y3 0. (a) Find the dual problem of the above linear programming problem. (b) What can you say about the dual problem? Choose the correct one from the following and justify your choice: (i) The dual problem has an optimal solution. Find it. (ii) The dual problem is infeasible. Prove it. (iii) The dual problem is unbounded. Prove it.

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