1 For the following linear programming problem Minimize z 4x 6y subject to x 3y 25 2x y 24 20 y20 i Solve it using any method not forgetting to find the optimal value ii Set up the dual problem iii Solve the dual problem using any method not forgetting to find the optimal value iv If you solved them both correctly the optimal values for i and iii are the same Is t 2 If not what theorem done it follow from