Question

A company sells widgets. The amount of profit y made by the company is related to the selling price of each widgets x by the given equation. Using this equation find out the maximum amount of profit the company can make to the nearest dollar. Y=-x^2+64x-292

Answer 1

Answer:

The maximum amount of profit is 32

Step-by-step explanation:

Given

$y=-x^2+64x-292$

Required

Determine the maximum profit

This is calculated by calculating the maximum of the function.

A quadratic function is of the form

$y = ax^2 + bx + c$

and its maximum is:

$Max = \frac{-b}{2a}$

So: $y=-x^2+64x-292$

We have that

$a = -1$

$b = 64$

$c = -292$

$Max = \frac{-b}{2a}$

$Max = \frac{-64}{2 * -1}$

$Max = \frac{-64}{-2}$

$Max = 32$

Hence, the maximum amount of profit is 32

Answer 2

Answer:

732

Step-by-step explanation:

Formula: -b/2a

-64/2(-1)

-64/-2= 32

Then you substitute x for your answer

-(32)^2+64(32)-292

-1024+2048-292= 732

You can also go on demos and type in the equation. The answer will be the Y value on the vertex (top of the parabola)