(a). A linear programming model was solved using the simplex method. The following is part of the solution tableau. Coefficient of Iteration Z X1 X2 X3 Si S2 Basic Variable Right side 0 z 1 1 9 1 0 0 Si 0 1 2 3 1 0 9 S2 0 3 2 2 1 15 : : Optimum Z 1 0 2% % 0 81/ X2 0 / 1 % 0 % S2 0 2 0 -1 -1 1 6 Based on the tableau above, determine the (i). original LP model. (ii). optimal solution. (iii). unit value of each resource. (iv). amount that can be deducted from surplus resources. (v). resource(s) that should be given priority if additional capital is made available to increase the raw material. Explain