(a) Consider the following linear programming problem. Minimize z = -x₂ #x₂ 3x₁ + x₂ 1 7x₂ + 3x₂ ≥ 4 x₁ is free, x₂ > 0 (i) @ Analyse the linear programming problem using the two-phase simplex method. Find the optimal solution. Is this problem solvable using the dual simplex method? Provide an explanation.

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