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The revenue R (in millions of dollars) for a company from 2003 through 2016 can be...

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Basic Math

The revenue R (in millions of dollars) for a companyfrom 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 correspondingto 2003.

(a) Use a graphing utility to approximate any relative extremaof the model over its domain. (Round each value to two decimalplaces.)

Relative maximum: (t,R)=

Relative minimum: (t,R)=

(b) Use the graphing utility to approximate the intervals onwhich the revenue for the company is increasing and decreasing overits domain. (Enter your answers using interval notation. Round eachvalue to two decimal places.)

Increasing: ( )

Decreasing: ( )

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

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