imo class 12 indefinite integration

A local electronics shop in Bengaluru estimates marginal revenue MR from selling x laptops is MR = 20000 - 100x (in ₹). Find the total revenue R(x) from selling x laptops, given R(0) = 0.

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A local electronics shop in Bengaluru estimates marginal revenue MR from selling x laptops is MR = 20000 - 100x (in ₹). Find the total revenue R(x) from selling x laptops, given R(0) = 0.

  • A. 20000x - 50x²
  • B. 20000x - 100x²
  • C. 10000x - 50x²
  • D. 20000x + 50x²

Answer: A) 20000x - 50x²

Explanation: R(x) = ∫ (20000 - 100x) dx = 20000x - 50x² + C. R(0) = 0 implies C = 0.

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