The Cost of Fighting Crime in the U $P ( t ) = 1.745 t + 29.84$

Multiple Choice

The cost of fighting crime in the U.S. increased steadily in the period 1982 - 1999. Total spending on police, courts, and prisons can be approximated, respectively, by
$P ( t ) = 1.745 t + 29.84$

billion dollars $( 2 \leq t \leq 19 )$ $C ( t ) = 1.097 t + 10.65$ billion dollars $( 2 \leq t \leq 19 )$ $J ( t ) = 1.919 t + 12.36$ billion dollars $( 2 \leq t \leq 19 )$
Where t is time in years since 1980. Compute $\lim _ { t \rightarrow \infty } \frac { P ( t ) } { P ( t ) + C ( t ) + J ( t ) }$ to two decimal places.

A) 0.27
B) 0.37
C) 0.32
D) 0.42
E) 0.52