Considered the following parameterized LP, given t ≥ 0.

Minimize z = 4x₁ + x₂ + 2x₃ subject to

(a) Solve the LP at t = 0 using TORA Iterations module, from which one can determine X_B and B₀^-1.

(b) Study the change in the optimal solution as a function of t ≥ 0.

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3x₁ + x₂ + 2x3 = 3 + 3t 4x₁3x₂ + 2x3 ≥ 6 + 2t x₁ + 2x₂ + 5x3 ≤ 4-t X1, X2, X3 ≥ 0