A local manufacturer in Delhi calculates its daily profit P(x) in rupees by P(x) = -5x² + 100x - 150, where x is items sold. Find the maximum daily profit.
A local manufacturer in Delhi calculates its daily profit P(x) in rupees by P(x) = -5x² + 100x - 150, where x is items sold. Find the maximum daily profit.
- A. ₹200
- B. ₹250
- C. ₹350
- D. ₹500
Answer: C) ₹350
Explanation: P'(x) = -10x + 100 = 0 → x = 10. Max Profit = P(10) = -5(100) + 1000 - 150 = -500 + 1000 - 150 = ₹350.
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