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Questions › UGC-NET › UGC-NET 2024 › Q34
2 marksMathematics › Constrained optimisation and linear programming › Linear programming: formulation and graphical solutionModerateabout 1 min

UGC-NET 2024 Question 34: Constrained optimisation and linear programming

The position of the points O(0,0)O(0,0)O(0,0) and P(2,−3)P(2,-3)P(2,−3) in the region of the graph of the inequation 2x−3y<52x-3y<52x−3y<5 will be:

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The position of the points O(0,0) and P(2,-3) in the region of the graph of the inequation 2x-3y<5 will be: (A) O inside and P outside (B) O and P both outside (C) O and P both inside (D) O outside and P inside

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.

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  • 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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Question from the UGC-NET 2024 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.