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 what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.

y

=

−

2

x

2

+

113

x

−

497

y=−2x

2

+113x−497

Answer 1

The answer is $50.50

Explanation:

Find: Price→x-value

When you grapg it you get 50.50 as your x so that is your answer

Answer 2

Answer:28.25

Explanation:

Equation is: y = - 2x^2 + 113x - 497

In order to find out maximum of X, first step is to take derrivative of the function y = - 2x^2 + 113x -497.

When we do that, derrivative function is:

dy/dx = - 2 * 2 x + 113 * 1 = - 4x +113

At the maximum point derrvative function equals to zero.

So, - 4x + 113 = 0

-4x = -113

x = 28.25

So, the selling price should be 28.25