1. Solve the following LP model by Simplex Method and find x1, x2 and x3.

Max Z= 4x1 + 2x2 +2x3

s.to

3x1 + 6x2 - 3x3 90

3x1+x2+x3 180

x1- x2 + x3 60

x1, x2, x3 0

Please give detailed information and don't use excel formulations. I couldn't find the optimal solution table.