Find the dual of the following primal problem [5M]
Minimize z = 60x₁ + 10x₂ + 20x3
Subject to 3x₁ + x₂ + x3 ≥ 2
X₁ X₂ + x3 ≥ −1
X₁ + 2x₂ - X3 ≥ 1,
X1, X2, X3 ≥ 0.