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The cost (in rupees) of… (Class 12 Maths SQP 2024-25, Q22)

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MathsCBSE Class 12 · Sample paper, session 2024-25 · 2 marks · Very short answer

CBSE Class 12 Mathematics sample paper 2024-25: question 22

From the official CBSE sample question paper for 2024-25, section B, question 22, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q22 · 2 marks · Very short answerCompetency-basedApplication of Derivatives

The cost (in rupees) of producing items in factory, each day is given by

Find the marginal cost when 150 items are produced.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2024-25.

Hints

Open one hint at a time and try again before the next.

Hint 1

Marginal cost means the rate of change of cost with respect to the number of items.

Hint 2

Differentiate term by term and then put .

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. Marginal cost is : .

    1 mark

  2. At : . The marginal cost is ₹14.375.

    1 mark

Answer: Marginal cost = ₹14.375

Where the marks are

  • Finds (1 mark)
  • Evaluates (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Application of Derivatives, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2024-25: every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.