Constrained optimisation and linear programming: previous year questions
Asked 5 times in 1 exam across 2 years. Newest first.
Practise Constrained optimisation and linear programming, easy to hard →
- IIT JAM 2022 Q22An initial simplex tableau has Cⱼ row 15, 25, 0, -M, -M, 0 over columns x, y, S₁, A₁, A₂, S₃, with basis A₁ (b=20, row 7, 6, -1, 1, 0, 0), A₂ (b=18…
- IIT JAM 2022 Q58Maximize Z = -0.2x₁ + x₂ subject to 2x₁ + 5x₂ ≤ 70, x₁ + x₂ ≤ 20, x₁, x₂ ≥ 0. If x₁ = a and x₂ = b is the optimal solution, then a + b = _ (in…
- IIT JAM 2021 Q22(x₁* = 1, x₂* = 0, x₃* = 2) is optimal for: minimize x₁ + 5x₂ + 2x₃ subject to x₁ - x₂ ≤ 1, x₁ + x₂ + x₃ ≥ 3, x₁, x₂, x₃ ≥ 0. If (λ₁*, λ₂*) is an…
- IIT JAM 2021 Q55The optimal value of: minimize 2xy subject to 9x² + 4y² ≤ 36 is _ (in integer).
- IIT JAM 2021 Q56For some β > 0, let x₁ and x₃ be the optimal basic feasible solution of: maximize x₁ + 2x₂ + 3x₃ subject to 2x₁ - x₂ + x₃ = 9, x₁ + 2x₂ - β x₃ = 1…