Chapter 4.1, Problem 41E

Recycling The cost $C$ (in dollars) of supplying recycling bins to $p\%$ of the population of a rural township is given by

$C=\frac{25,000p}{100-p},0\le p>100.$

(a) Use a graphing utility to graph the cost function.

(b) Find the costs of supplying bins to $15\%,50\%,\text{ and }90\%$ of the population.

(c) According to the model, is it possible to supply bins to $100\%$ of the population? Explain.