Question: Consider the Linear programming problem Minimize Z = x, +2x2+5x3+5 x2 Subject to 2x,+4X, < 10 X1-X2 2 4 Q1. [9 marks) Solve this

Consider the Linear programming problem Minimize Z = x, +2x2+5x3+5 x2 Subject

Consider the Linear programming problem Minimize Z = x, +2x2+5x3+5 x2 Subject to 2x,+4X, < 10 X1-X2 2 4 Q1. [9 marks) Solve this problem by dual simplex method. Q2. [2 marks] Write the dual of the problem and simplify it to have only one constraint. Q3 [2 marks) Find the optimal solution of the dual problem without using any algorithm. Q4 (2 marks) Compare your optimal values in Q1 and Q2 and justify your answers.

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