Question

Regina has finished writing her first book, Successful Steps to College Success. She wants to determine the price at which she should sell her book in order to maximize her revenue. This situation is expressed by the equation y=−0.5x2+24x
, where x represents the price and y represents the revenue. In terms of the context, what price should Regina sell the book to earn maximum revenue?(1 point)

$288

$12

$48

$24

Answer 1

The revenue is maximized at the vertex of the parabola. For y = -0.5x^2 + 24x, x = -b/(2a) = -24/(2·-0.5) = 24.

So she should charge $24.