Question
Write out simple and short 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=−0.1x2+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.(2 points)
, 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.(2 points)
Answers
GPT-4o mini
To find the sale price that maximizes revenue, we need to determine the vertex of the quadratic equation \( y = -0.1x^2 + 26x \). The maximum revenue occurs at a selling price of \( x = \frac{-b}{2a} = \frac{-26}{2 \times -0.1} = 130 \) dollars, which would yield a maximum revenue of \( y = -0.1(130^2) + 26(130) = 1690 \) dollars.