Consider the following problem. Maximize Z = 2x₁ + x₂, subject to X₂ ≤ 10 2x₁ + 5x₂ ≤ 60 x₁ + x₂ ≤ 18 3x₁ + x₂ ≤ 44 and X₁ ≥ 0, X₂ ≥ 0. (c) Construct the dual problem for this model. (d) Given that (x₁, x₂) = (13, 5) is optimal for the primal problem, use the complementary slackness property to find optimal solution to the dual problem.

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