Chapter 3.2, Problem 95E

Revenue The revenue $R$ (in millions of dollars) for a software company from 2003 through 2016 can be modeled by

$R=\text{6}.\text{212}{t}^{\text{3}}–\text{152}.\text{87}{t}^{\text{2}}+\text{99}0.\text{2}t–\text{414},\text{3}\le t\le \text{16}$

where $t$ represents the year, with $t=3$ corresponding to 2003.

(a) Use a graphing utility to approximate any relative minima or maxima of the model over

its domain.

(b) Use the graphing utility to approximate the intervals on which the revenue for the company is increasing and decreasing over its domain.

(c) Use the results of parts (a) and (b) to describe the company’s revenue during this time period.