To find the maximum revenue, we can use the vertex formula for a quadratic equation, \(x = -\frac{b}{2a}\). In this case, \(a = -0.1\) and \(b = 26\), so the selling price that maximizes revenue is \(x = -\frac{26}{2 \times -0.1} = 130\). Substituting \(x = 130\) back into the revenue equation, we find that the maximum revenue would be \(y = -0.1(130^2) + 26(130) = 1690\). Therefore, Damar should sell his book for $130 to achieve a maximum revenue of $1,690.
Damar writes a book on how
to save money. He wants to
determine the price at which
he should sell the book in
order to maximize his
revenue. He comes up with
the equation y= -0.1x^2 + 26x
, where
x represents the selling price
and y represents the
revenue earned. In terms of
the context, describe in 1–2
sentences at what sale price
his book would return
maximum revenue and what
that revenue would be.
1 answer