imo class 12 application of derivatives

The marginal revenue of producing x units is given by MR = 10 - 0.02x. At what production level is the total revenue maximum?

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The marginal revenue of producing x units is given by MR = 10 - 0.02x. At what production level is the total revenue maximum?

  • A. 200 units
  • B. 100 units
  • C. 1000 units
  • D. 500 units

Answer: D) 500 units

Explanation: Total revenue is maximum when Marginal Revenue (MR) is zero. 10 - 0.02x = 0 → 0.02x = 10 → x = 10 / 0.02 = 500 units.

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