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Questions › UGC-NET › UGC-NET 2023 › Q65
2 marksMathematics › Single-variable optimisation › Optimisation on a closed intervalHardabout 2 min

UGC-NET 2023 Question 65: Single-variable optimisation

Consider the following three Constrained Optimization Problems (COP): (a) Maximize z = ln x subject to x >= 1; (b) Maximize z = ln x subject to x <= 1; (c) Maximize z = ln x subject to 1 <= x <= 2. Statements: (A) (a) and (b) have no solutions but (c) has a solution. (B) (a) and (b) have solutions but (c) has no solution. (C) (a), (b) and (c) have no solution. (D) (a) and (c) have no solution but (b) has solution. Choose the correct answer from the options given below:

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Single-variable optimisation has come up 37 times in 6 exams since 2010.

What this question tests

This question is on Optimisation on a closed interval, part of Single-variable optimisation in Mathematics.

Global maxima and minima when the domain is bounded, including endpoints and existence.

TestStop has 13 past-paper questions on this subtopic.

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