IEOPER1 HW#9 1. Consider the problem Max Z = 3x1 + 5x2 + 2x3 5.1. - 2xy + 2x2 + x3 35 3x1 + x2 - X3 510 *,X2, X3 20 You are given the fact that the basic variables in the optimal solution are x1 and X3. a) Use the given information to find the optimal solution without applying the simplex method. b) Identify the optimal solution for the dual model by applying the work done in part (a). 2. Formulate the dual of the following asymmetric primal model: Maximize Xo = xy + 2x2 3x3 + 4x4 Subject to: -X1 + 2x2 + x3 - 3x4 = 5 6x1 + 7x2 3x3 - 5x4 2 8 12x1 - 9x2 + 9x3 + 9x4 S 20 X1, X2, X: 20 X4 is unrestricted