imo class 12 application of derivatives

The total revenue function for a product is R(x) = 3x² + 36x + 5 (in ₹). The demand function is:

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The total revenue function for a product is R(x) = 3x² + 36x + 5 (in ₹). The demand function is:

  • A. p = 3x + 36 + 5/x
  • B. p = 3x + 36
  • C. p = 6x + 36
  • D. p = 3x² + 36x

Answer: A) p = 3x + 36 + 5/x

Explanation: Revenue R = price × quantity = p × x. So p = R/x = 3x + 36 + 5/x.

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