imo class 12 application of derivatives

A company sells x units of an item. The total revenue is R(x) = 100x - x². The maximum revenue the company can earn is:

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A company sells x units of an item. The total revenue is R(x) = 100x - x². The maximum revenue the company can earn is:

  • A. ₹1000
  • B. ₹2500
  • C. ₹5000
  • D. ₹2000

Answer: B) ₹2500

Explanation: R'(x) = 100 - 2x = 0 → x = 50. Max Revenue R(50) = 100(50) - (50)² = 5000 - 2500 = ₹2500.

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