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Questions › UoH › UoH 2021 › Q76
1 mark, −0.33Mathematics › Single-variable optimisation › Applied optimisationModerateabout 2 min

UoH 2021 Question 76: Single-variable optimisation

If the demand function for the product of a firm is p=1350−6qp = \sqrt{1350 - 6q}p=1350−6q​, find the output level that maximizes total revenue.

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Plain-text version

If the demand function for the product of a firm is p = √(1350 - 6q), find the output level that maximizes total revenue. (A) q = 1350 (B) q = 150 (C) q = 225 (D) q = 36.74

Also written as: If the demand function for the product of a firm is p = sqrt(1350 - 6q), find the output level that maximizes total revenue.

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 2021 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.