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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

Respuesta :

MrRoyal

She should book 8 clients each day to maximize profit

How to maximize the function

The quadratic function is given as:

[tex]P = -15x^2 + 240x - 640[/tex]

Differentiate the function

[tex]P' = -30x + 240[/tex]

Set the function to 0

[tex]-30x + 240 = 0[/tex]

Collect like terms

[tex]30x = 240[/tex]

Divide through by 30

[tex]x = 8[/tex]

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

Read more about quadratic functions at:

https://brainly.com/question/11631534

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