Answer:
The maximum amount of profit is 32
Step-by-step explanation:
Given
[tex]y=-x^2+64x-292[/tex]
Required
Determine the maximum profit
This is calculated by calculating the maximum of the function.
A quadratic function is of the form
[tex]y = ax^2 + bx + c[/tex]
and its maximum is:
[tex]Max = \frac{-b}{2a}[/tex]
So: [tex]y=-x^2+64x-292[/tex]
We have that
[tex]a = -1[/tex]
[tex]b = 64[/tex]
[tex]c = -292[/tex]
[tex]Max = \frac{-b}{2a}[/tex]
[tex]Max = \frac{-64}{2 * -1}[/tex]
[tex]Max = \frac{-64}{-2}[/tex]
[tex]Max = 32[/tex]
Hence, the maximum amount of profit is 32
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)
