1. (Simplex and linprog) Solve the following LP problems by using the Tableau Simplex method. Verify your results by MATLAB linprog function.. 1.1) Maximize z Subject to 3x1 + 4x2-2x3+' 2x1 + x, + 2x, s 12 0.. Xi , X2,X3 Z = X1 + X2 + X3 + 2x4 x1 x3 x4 S 4 1.2) Maximize Subject to xi x2 2x, S 8 2x1 x2 x3 x4 S6 1. (Simplex and linprog) Solve the following LP problems by using the Tableau Simplex method. Verify your results by MATLAB linprog function.. 1.1) Maximize z Subject to 3x1 + 4x2-2x3+' 2x1 + x, + 2x, s 12 0.. Xi , X2,X3 Z = X1 + X2 + X3 + 2x4 x1 x3 x4 S 4 1.2) Maximize Subject to xi x2 2x, S 8 2x1 x2 x3 x4 S6