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 = -9x^2 + 700x - 6005

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

It's vertex is the point

In which

Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is .

In this question:

The profit is given by:

Which is a quadratic function with

The maximum profit happens at the x of the vertex. Thus

Widgets should be sold by $38.88 to maximize the profit.

in the simple case, the two triangles point x and y are congruent because every corresponding side has the same length, and every corresponding angle has the same measure.