If you maximize , subject to , then the maximum value of is obtained at
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2 marks, −0.5MathematicsSingle-variable optimisationOptimisation on a closed intervalModerateabout 2 min
JNU SSS 2015 Question 46: Single-variable optimisation
Answer and worked solution
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Plain-text version
If you maximize f(x) = 2/x³, subject to 0 < x < 1, then the maximum value of f(x) is obtained at (A) 0 (B) 1 (C) 1/2 (D) f(x) has no maxima for the case 0 < x < 1
Also written as: If you maximize f(x) = 2/x^3, subject to 0 < x < 1, then the maximum value of f(x) is obtained at
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.
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