Chapter 5.3, Problem 96E

Company C’s profits satisfy $P\left(0\right)=\$1$

million, $P;\left(0\right)=\$1$ millionper year, and $P^{″}\left(0\right)=-\$1$ millionper year per year. Company D’s profits $P\left(0\right)=\$1$ million, $P\text{'}\left(0\right)=\$1$ millionper year, and $P^{″}\left(0\right)=\$1$ millionper year per year. There are no points of inflection in either company’s profit curve. Sketch two pairs of profit curves: one in which Company C ultimately outperforms Company D and another in which Company D ultimately outperforms Company C.