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Advanced Proof

Visual Proof: The Strong Duality Theorem in Linear Programming

Students often confuse the Weak Duality Theorem, which only provides a bound cTxbTy c^T x \geq b^T y , with the Strong Duality Theorem. Strong Duality strictly requires the existence of feasible solutions for both problems to ensure that the duality gap reaches exactly zero.
Institutional Reference: Linear and Integer Programming
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