# Concept derivation guides

299 concept teaching guides, separate from the 36,000 individual question derivations.

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Concept guide



## [The weak-duality chain and a zero-gap optimality certificate](/en/derivations/derivation-mko-linear-program-duality-01/?from=%2Fen%2Fderivations%2F%3Fq%3Dmko-linear-program-duality)

Construct the full dual, check feasibility of x=(1,3), y=(1,1), and certify both optimal by zero gap.

Linear-programming duality

derivation-mko-linear-program-duality-01





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