A company’s profit (in thousands of rupees) from selling hundred units of a product…

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A company’s profit (in thousands of rupees) from selling xx hundred units of a product is given by P(x)=100xx+4−5xP(x)=\dfrac{100x}{x+4}-5x, where x>0x>0. (a) Find the interval of xx for which the profit is increasing. (b) Determine the number of units that give the maximum profit.

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