Question

A company that sells phones generates revenue given by the function

r(x) = x2 + 20x + 50 (where x is the number of phones produced per month). The cost of production is given by the function c(x) = 50x + 30. Which function gives the profit earned by the company?

Answer 1

`P(x)=x^2-30x+20`

Explanation:

A company that sells phones generates revenue given by the function,

Revenue Function:

`R(x)=x^2+20x+50`

where, x is the number of phones produced per month

The cost of production is given by the function.

Cost Function:

`C(x)=50x+30`

We need to find profit function of the company

Profit = Revenue - Cost

Let profit function be P(x)

`P(x)=R(x)-C(x)`

`P(x)=(x^2+20x+50)-(50x+30)`

`P(x)=x^2-30x+20`

Hence, The profit function of the company is
`P(x)=x^2-30x+20`

Answer 2

For the answer to the question above asking Which function gives the profit earned by the company?
You missed the choices for the answer to the question above, But I based on your question the answer is x^2 − 30x + 20.
I hope my answer helped you.