I have an optimization problem with formulation:
min f = x1+x2+x3
subject to:
x1+2*x2+x3=8
2*x1+x2+x3=12
x1,x2,x3>=0
I should solve it by Big M method. For this I added two extra variables (a1,a2) with Big M coefficients to the problem. But, when I started to solve the problem there is no progress in the objective value.
My initial tableau:
x1- x2-x3-a1-a2-f-b-Ratio
1 2 1 1 0 0 8
2 1 1 0 1 0 12
-1 -1 -1 -M -M -1 0
Is there any issue with my initial tableau?