MHT CET 2025 Mathematics question

MathematicsApplication of DerivativesMHT CET 2025

A manufacturer produces x items per week at a total cost of Rs (). The price per unit is given by where 'p' is the price of each unit. Then the maximum profit obtained is

Answer: (A)

Solution

From , the price per unit is , so revenue . Profit . Then , and , so this is a maximum.

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Question ID VK-101217