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Questions › UGC-NET › UGC-NET 2025 › Q78
2 marksMathematics › Single-variable optimisation › Applied optimisationModerateabout 1 min

UGC-NET 2025 Question 78: Single-variable optimisation

A company has determined that total cost C, total revenue R and the number of units produced X are related as C = 100 + 0.015 X^2 and R = 3X. Find the product level X that will maximize profit for this company.

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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 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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