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Question: reformulate the following program as an lp min ...

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Reformulate the following program as an LP:

min 𝑧 = max{2|𝑦1|,|𝑦2|,3|𝑦3|}

s.t. 𝑥1 + 2𝑥2 + 𝑥3 + 𝑦1 = 5

−𝑥1 + 8𝑥2 − 2𝑥3 + 𝑦2 = 2

−2𝑥1 + 𝑥2 + 4𝑥3 + 𝑦3 = 8

𝑥1 + 3𝑥2 + 𝑥3 = 10

𝑥1,𝑥2,𝑥3 ≥ 0

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