Chapter 4.1, Problem 43E

Population Growth The game commission introduces 100 deer into newly acquired state game lands. The population $N$ of the herd is modeled by

$N=\frac{20(5+3t)}{1+0.04t},$ $t\ge 0$

where $t$ is the time in years.

(a) Use a graphing utility to graph this model.

(b) Find the populations when $t=5$, $t=10$ , and $t=25$.

(c) What is the limiting size of the herd as time increases?