Question: Consider a minimization linear programming problem in standard form. Let x be a BFS associated with the basis B. Prove that if x is the unique optimal solution and is nondegenerate, the reduced cost of every nonbasic variable is then positive.
Question: Consider a minimization linear programming problem in standard form. Let x be a BFS associated with the basis B. Prove that if x is the unique optimal solution and is nondegenerate, the reduced cost of every nonbasic variable is then positive.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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Question: Consider a minimization linear programming problem in standard form. Let x be a BFS associated with the basis B. Prove that if x is the unique optimal solution and is nondegenerate, the reduced cost of every nonbasic variable is then positive.
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