If I have a linear programming problem in standard form, how can I prove that:
If $x^*$ is the unique optimal solution of the LP problem, then the reduced costs of all nonbasic variables are strictly positive ??
2026-03-30 02:04:50.1774836290
Reduced costs of a linear programming problem
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I suggest proving the contrapositive. Suppose some nonbasic variable has nonpositive reduced cost. What happens if you pivot?