Chapter 3.2, Problem 96E

Revenue The revenue $R$ (in millions of dollars) for a construction company from 2003 through 2010 can be modeled by

$R=0.\text{11}0\text{4}{t}^{\text{4}}–\text{5}.\text{152}{t}^{\text{3}}+\text{88}.\text{2}0t^{\text{2}}–\text{654}.\text{8}t+\text{19}0\text{7},\text{ 7}\le t\le \text{16}$

where $t$ represents the year, with $t=7$ corresponding to 2007.

(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.