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Past exam of the mathematics course of the University of Oxford / 2015 / Prelims / Mathematics IV / 5 / b / i

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Oxford 2015 Prelims Mathematics IV 5 b
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i
There are two primal inequalities, so there are two nonnegative dual variables. The five primal variables yield five dual inequalities:
minimise 2y1​+y2​,y1​+y2​≥1,−y1​+y2​≥−1,−y1​+3y2​≥−5,3y1​+4y2​≥12,3y1​+y2​≥6,y1​,y2​≥0.​​
(1)
Each coefficient column of the primal linear program becomes one row of this dual linear program.

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