Use the Simplex method to find the maximum optimal solution for the following problems: Please show all steps including the optimization model, the Simplex Table, all row operations to solving the simplex table, and graphing the solution. Maximize z = x1 - 2x2
Subject to: 2x1 + 3x3 <= 1
3x1 + 2x1 - x3 <= 5
x1,x2,x3 >= 0