imo class 12 definite integration

The marginal cost of producing handmade sarees in Varanasi is MC = 100 + 2x, where x is the number of sarees. Find the additional cost to increase production from 10 to 20 sarees.

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The marginal cost of producing handmade sarees in Varanasi is MC = 100 + 2x, where x is the number of sarees. Find the additional cost to increase production from 10 to 20 sarees.

  • A. ₹ 1500
  • B. ₹ 1300
  • C. ₹ 1200
  • D. ₹ 1000

Answer: B) ₹ 1300

Explanation: Additional Cost = ∫[10 to 20] (100 + 2x) dx = [100x + x²] from 10 to 20 = (2000 + 400) - (1000 + 100) = 2400 - 1100 = 1300 ₹.

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