A manufacturer’s profit (in dollars) from producing and selling hundred units of a…

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

Problem

A manufacturer’s profit (in dollars) from producing and selling

x

hundred units of a product is modeled by

P(x)=-0.4x^{2}+32x-120,\quad 0\le x\le 80.

Determine the production level, to the nearest whole unit, that yields the greatest profit within this interval.