Radha runs a boutique in Jaipur. The cost of producing x hand-painted sarees is C(x) = ₹(1000 + 5x + x²/10). Find the minimum average cost per saree. A. ₹25 B. ₹50 C. ₹10 D. ₹15 Answer: A) ₹25 Explanation: Average Cost AC = C(x)/x = 1000/x + 5 + x/10. d(AC)/dx = -1000/x² + 1/10 = 0 → x² = 10000 → x = 100. Min AC = 1000/100 + 5 + 100/10 = 10 + 5 + 10 = ₹25.

imo class 12 application of derivatives

Radha runs a boutique in Jaipur. The cost of producing x hand-painted sarees is C(x) = ₹(1000 + 5x + x²/10). Find the minimum average cost per saree.

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Radha runs a boutique in Jaipur. The cost of producing x hand-painted sarees is C(x) = ₹(1000 + 5x + x²/10). Find the minimum average cost per saree.

A. ₹25
B. ₹50
C. ₹10
D. ₹15

Answer: A) ₹25

Explanation: Average Cost AC = C(x)/x = 1000/x + 5 + x/10. d(AC)/dx = -1000/x² + 1/10 = 0 → x² = 10000 → x = 100. Min AC = 1000/100 + 5 + 100/10 = 10 + 5 + 10 = ₹25.

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