Precalculus · Problem 3.1.31

Polynomial Functions — Stitz & Zeager

Mathematics — Precalculus · polynomial-applied-profit

Problem

Suppose the revenue

R

, in thousands of dollars, from producing and selling

x

hundred LCD TVs is given by

R(x) = -5x^3 + 35x^2 + 155x

for

0 \leq x \leq 10.07

. Use a graphing utility to graph

y = P(x)

and determine the number of TVs which should be sold to maximize profit. What is the maximum profit?