Question: Problem 2. (20 marks) Consider the following linear programming problem, mins.t.2y13y22y1y2y33y1y2+y32y1,y2,y30. (a) Find the dual problem of the above linear programming problem. (b) What can

Problem 2. (20 marks) Consider the following linear programming problem, mins.t.2y13y22y1y2y33y1y2+y32y1,y2,y30.

Problem 2. (20 marks) Consider the following linear programming problem, mins.t.2y13y22y1y2y33y1y2+y32y1,y2,y30. (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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