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Questions › UoH › UoH 2012 › Q38
1 mark, −0.33Mathematics › Single-variable optimisation › Applied optimisationEasyabout 1 min

UoH 2012 Question 38: Single-variable optimisation

The level of output q, at which the average cost (AC) will be minimum, where the AC = q2−5q+8q^2 - 5q + 8q2−5q+8 is,

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The level of output q, at which the average cost (AC) will be minimum, where the AC = q² - 5q + 8 is, (A) 8 (B) 2.5 (C) -5 (D) None of the above

Also written as: The level of output q, at which the average cost (AC) will be minimum, where the AC = q^2 - 5q + 8 is,

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

What this question tests

This question is on Applied optimisation, part of Single-variable optimisation in Mathematics.

Maximising profit, revenue or area and minimising cost or time in applied settings.

TestStop has 12 past-paper questions on this subtopic.

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Question from the UoH 2012 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.