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Questions › IIT JAM › IIT JAM 2024 › Q13
2 marks, −0.667Mathematics › Constrained optimisation and linear programming › Linear programming: formulation and graphical solutionHardabout 3 min

IIT JAM 2024 Question 13: Constrained optimisation and linear programming

The optimal value of the linear programming problem: Maximise Z=2x+3yZ = 2x + 3yZ=2x+3y subject to 5x+4y≤205x + 4y \le 205x+4y≤20, 3x+5y≤153x + 5y \le 153x+5y≤15, 2x+y≤42x + y \le 42x+y≤4, x,y≥0x, y \ge 0x,y≥0, is

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The optimal value of the linear programming problem: Maximise Z = 2x + 3y subject to 5x + 4y ≤ 20, 3x + 5y ≤ 15, 2x + y ≤ 4, x, y ≥ 0, is (A) 4 (B) 64/7 (C) 9 (D) 72/7

Also written as: The optimal value of the linear programming problem: Maximise Z = 2x + 3y subject to 5x + 4y <= 20, 3x + 5y <= 15, 2x + y <= 4, x, y >= 0, is

Constrained optimisation and linear programming has come up 44 times in 7 exams since 2007.

What this question tests

This question is on Linear programming: formulation and graphical solution, part of Constrained optimisation and linear programming in Mathematics.

Setting up a linear program and finding its optimum at a corner of the feasible region.

TestStop has 15 past-paper questions on this subtopic; the nearest in year are below.

  • 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…
  • IIT JAM 2021 · Q56For some β > 0, let x₁ and x₃ be the optimal basic feasible solution of: maximize x₁ + 2x₂ + 3x₃ subject to…
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