Chapter 5.5, Problem 3TU

TEST FOR UNDERSTANDING FOR EXAMPLE $5.16$

In the study “Economics of Scale in High School Operation” by J. Riew, the author studied data from the early $1960\text{s}$ on expenditures for high schools ranging from $150$ to $2400$ enrollment. The data he observed were similar to those in the table below.

$n=enrollment$	$200$	$600$	$1000$	$1400$	$1800$
$C=costperstudent,indollars$	$667.4$	$545.0$	$461.0$	$415.4$	$408.2$

Model these data using a quadratic function. (Round regression parameters to four decimal places.) According to this model, what enrollment produces the minimum cost per student?