Chapter 3.3, Problem 94E

Law Enforcement in the 1980s and 1990s Refer to Exercise 93. Total spending on police, courts, and prisons in the period 1982–1999 could be approximated by

$\begin{array}{l}P\left(t\right)=1.745t+29.84\text{ billon dollars }\left(2\le t\le 19\right)\\ C\left(t\right)=1.097t+10.65\text{ billon dollars }\left(2\le t\le 19\right),\\ J\left(t\right)=1.919t+12.36\text{ billon dollars }\left(2\le t\le 19\right)\end{array}$

respectively, where t is time in years since 1980. Compute $\underset{t\to +\infty }{\lim }\frac{P\left(t\right)}{P\left(t\right)+C\left(t\right)+J\left(t\right)}$ totwo decimal places, and intercept the result. [HINT: See Example 4.]