Question

Can someone help me with this word problem, it's a part of the Quadratic Word Problems (Profit/Gravity) section in my notes.

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.

y=−8x^2+492x−2924

Answer 1

Any ideas?

Answer 2

Hint: the x coordinate of the vertex of the parabola $$y=ax^2 + bx +c $$ is $$\huge - \dfrac{b}{2a}$$

Answer 3

welcome to os