The Predicted Cost C (In Hundreds of Thousands of Dollars) $C = \frac { 128 p } { ( 12 + p ) ( 101 - p ) } , 0 \leq p < 100$

Multiple Choice

The predicted cost C (in hundreds of thousands of dollars) for a company to remove p% of a chemical from its waste water is shown in the table below. A model for the data is given by $C = \frac { 128 p } { ( 12 + p ) ( 101 - p ) } , 0 \leq p < 100$ . Use the model to find the average cost for removing between
$75 \%$ and $80 \%$ of the chemical.
$\begin{array}{|l|l|l|l|l|l|l|l|l|l|l|}\hline p & 0 & 10 & 20 & 30 & 40 & 50 & 60 & 70 & 80 & 90 \\\hline C & 0 & 0.6 & 1 & 1.3 & 1.6 & 2 & 2.6 & 3.5 & 5.3 & 10.3 \\\hline\end{array}$

A) $\$ 470,000$
B) $\$ 235,000$
C) $\$ 117,500$
D) $\$ 470,001$
E) $\$ 940,000$