imo class 12 definite integration

Anita runs a boutique in Delhi. Her marginal profit for selling x kurtis is MP = 500 - 5x. What is her total profit from selling the first 20 kurtis?

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Anita runs a boutique in Delhi. Her marginal profit for selling x kurtis is MP = 500 - 5x. What is her total profit from selling the first 20 kurtis?

  • A. ₹ 9000
  • B. ₹ 10000
  • C. ₹ 8500
  • D. ₹ 9500

Answer: A) ₹ 9000

Explanation: Total Profit = ∫[0 to 20] (500 - 5x) dx = [500x - 2.5x²] from 0 to 20 = 10000 - 2.5(400) = 10000 - 1000 = 9000 ₹.

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