Chapter 12.3, Problem 29E

Work these exercises.

Corporate Profits Total corporate profits (before taxes) in billions of dollars can be approximated for the years 2006 through 2015 by

$P\left(x\right)=17x^2-306x+2324,$

where $x=6$ corresponds to the year 2006. Find the absolute extrema of $P\left(x\right)$ on the closed interval $\left[6,15\right]$. (Data from: ProQuest Statistical Abstract of the U.S: 2016.)