Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-Economists use what is called a Leffer curve to predict the government revenue for tax rates from $0 \%$ to $100 \%$ . Economists agree that the end points of the curve generate 0 revenue, but disagree on the tax rate that produces $t$ maximum revenue. Suppose an economist produces this rational function
$R ( x ) = \frac { 10 x ( 100 - x ) } { 15 + x }$ , where $R$ is revenue in millions at a tax rate of x percent. Use a graphing calculator to graph the function. What tax rate produces the maximum revenue? What is the maximum revenue?

A) $31.4 \% ; \$ 464$ million
B) $29.7 \% ; \$ 467$ million
C) $28.1 \% ; \$ 470$ million
D) $26.5 \%$ ; $\$ 469$ million