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The profit from a business is described by the function P(x) = -x^2 + 10x - 4, where x is the number of items made, in thousands, and P(x) is the
profit in dollars. How many items will maximize the profit?

A 5,000
B. 10,000
C. 20,000
D. 50,000

Respuesta :

matthew8648
B is what it was for real life is a little more expensive but it

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

What is Profit ?

The money that you make when you sell something for more than it cost you.

For given example,

profit is described by the equation :

[tex]P (x) = -x^2 + 10x -4[/tex]

We need to maximize the profit P(x)

[tex]\Rightarrow \frac{d}{dx}P(x)=0\\\\\Rightarrow \frac{d}{dx}( -x^2 + 10x -4 ) =0\\\\\Rightarrow -2x+10=0\\\\\Rightarrow -2x=-10\\\\\Rightarrow x=5[/tex]

since , x is the number of items made in thousand

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

Learn more about profit :

https://brainly.com/question/11470255

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