Question

Carly has just opened her own nail salon. Based on experience, she
knows that her daily profit, P, in dollars, can be modelled by the relation
P = - 15x2 + 240x - 640, where x is the number of clients per day.
How
many
clients should she book each day to maximize her profit?
F

Answer 1

She should book 8 clients each day to maximize profit

How to maximize the function

The quadratic function is given as:

$P = -15x^2 + 240x - 640$

Differentiate the function

$P' = -30x + 240$

Set the function to 0

$-30x + 240 = 0$

Collect like terms

$30x = 240$

Divide through by 30

$x = 8$

Hence, she should book 8 clients each day to maximize profit

Read more about quadratic functions at:

https://brainly.com/question/11631534