Consider the following LP: min 5x1 + 4x2 s.t. x1 + x2 ≥ 1 2x1 − x2 ≥ 1 3x2 ≤ 2 x1, x2 ≥ 0. 1. Write down the dual of this LP. 2. We know that by strong duality, we can either solve this LP or its dual form to get the same optimal objective value. If you apply the simplex algorithm, which one would you rather solve? Make your choice and apply the simplex algorithm to solve it.

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