Choose the One Alternative That Best Completes the Statement or Answers

question 222

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
$R ( x ) = \frac { 10 x ( 100 - x ) } { 50 + x }$ , 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) \(41.2 \% ; \$ 264\) million
• B) \(34.0 \% ; \$ 271\) million
• C) \(36.6 \% ; \$ 268\) million
• D) \(35.8 \% ; \$ 276\) million

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