Consider the following linear optimization model.
Z = 3x1+ 6x2+ 2x3
st      3x1 +4x2 + x3 ≤2
          x1+3x2+ 2x3 ≤ 1
     X1, x2, x3 ≥0
              (10) Write the optimization problem in standard form with theconsideration of slack variables.
              (30) Solve the problem using simplex tableau method.
              (10) State the optimal solution for all variables.
