Consider the following problem Minimize Z = 4x₁ + 12x₂ + 12x3 subject to X1 + 3x3 ≥ 3 2x2 + 2x322 and x₁ ≥ 0, x₂ ≥ 0, x3 ≥ 0. (a) Convert this problem into an augmented form to get ready for applying the dual simplex method. (b) Use the dual simplex method manually to solve this problem.
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