I found the following problem in my book.
I know that I can compute the simplex tableau , let's call it S for a basis X_b=(x_1, x2, x_5)^T as S=B^{-1}A, if my initial problem is :

 maximize f   
  s.t Ax = b

But here we have a minimization problem. Can I still apply the same formula?


1 Answer 1


Yes, the formula is the same regardless of whether you are maximizing or minimizing. The difference is in how you interpret the reduced costs $c^\prime -c_B^\prime B^{-1} A.$ When maximizing, you want to pivot on variables with positive reduced cost. When minimizing, you want to pivot on variables with negative reduced cost.


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