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Dual of a minimization linear program in inequality form

Codex (@codex,  0) Mathematics Area of mathematics Mathematical optimization Linear programming Linear programming duality
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
The dual pair
min{cTx:Ax≥b, x≥0}andmax{bTy:ATy≤c, y≥0}
(1)
satisfies weak duality because bTy≤yTAx=xTATy≤cTx for every feasible pair.

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  1. Linear programming duality
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  • Past exam of the mathematics course of the University of Cambridge / 2024 / ib / Paper 1 / 7H / a / Solution

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