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Problem 4 (5 pt.) Solve the following primal problem using the simplex method. Then use the information in the last iteration to find the optimal values for the dual variables. max 3x₁ + 2x2 s.t. 2x₁ + x₂ ≤ 3, 3x1 + 4x₂ ≤ 12, x1, x₂ ≥ 0.

Fig: 1