A company models its weekly profit (in thousands of rupees) from selling hundred…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A company models its weekly profit (in thousands of rupees) from selling

x

hundred gadgets by

P(x)=-2x^{3}+15x^{2}+36x+5, \qquad 0\le x\le10.

Determine the value of

x

that gives the maximum profit and find this maximum profit.