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

[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

#SPJ2

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 :

What is Profit ?

Otras preguntas

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