In: Math
The revenue R (in millions of dollars) for a company from 2003 through 2016 can be modeled by
R = 6.211t3 − 152.89t2 + 990.1t − 414, 3 ≤ t ≤ 16
where t represents the year, with t = 3 corresponding to 2003.
(a) Use a graphing utility to approximate any relative extrema of the model over its domain. (Round each value to two decimal places.)
Relative maximum: (t,R)=
Relative minimum: (t,R)=
(b) Use the graphing utility to approximate the intervals on which the revenue for the company is increasing and decreasing over its domain. (Enter your answers using interval notation. Round each value to two decimal places.)
Increasing: ( )
Decreasing: ( )
(c) Use the results of parts (a) and (b) to describe the company's revenue during this time period.