Dual simplex method
Use the dual simplex method to show that this problem is infeasible.
Maximize z= -8x1 - x2 -x3
s.t.
2x1 + x2 >= 20
-2x1 + x2 - x3 >= 12
x1 + x3 <= 7
x1 - x2 + x3 >= 5
x1, x2, x3 >= 0
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