Question

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 the maximum amount of profit the company can make, to the nearest dollar.
Y=-3x^2+155x-1148

Answer 1

Answer:

$5,070

Step-by-step explanation:

The correct answer!

Answer 2

Answer:

The maximum amount of profit the company can make is $854.08

Step-by-step explanation:

Let

x ----> the selling price of each widget

y ---> the amount of profit

we have

$y=-3x^{2} +155x-1148$

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

so

The y-coordinate of the vertex represent  the maximum amount of profit the company can make

using a graphing tool

Find out the vertex of the quadratic equation

The vertex is the point (25.83,854.08)

see the attached figure

The y-coordinate of the vertex is 854.08

therefore

The maximum amount of profit the company can make is $854.08