Consider the following LP max x1 + x2 s.t. x1 −x2 ≤2 (y1) −2x1 + 3x2 ≤2 (y2) −x1 −2x2 ≤−1 (y3) x1, x2 ≥0 1. Write down the dual of the primal LP. 2. Based on complementary slackness, argue whether x1 = 2, x2 = 2 is an optimal solution to the primal LP.

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