1. Simplex method (25 points): Solve the following LP problem by simplex tableau method with slack variables (S1,S2) as given below. Label basis (XB) in all iterations. Minimize Z = 2x + 3x2 Min Z x1 RHS Subject to X1 + X2 15 1 -2 -3 0 0 -X1 - 2x2 5-10 0 1 0 15 X1 x2 > 0 -1 -10 SI S2 0 SI 1 1 S7 0 -2 0 1 Min Z X X2 SI S2 RHS Min Z S] S2 RHS -5 point for continuing to 3rd page. -2 for not writing serial # & name on top-right comer Min Z .X2 S/ S2 RHS