Question

The costs of a company are represented by the function C(x)=2.6x+23,400. Its revenues are represented by the function R(x)=2.8x.

Find the function that represents the company's profits.

Answer 1

`P(x)=0.2x-23,400`

Explanation:

we know that

The profit is equal to the revenue minus the cost

Let

P(x) ----> represents the company's profits.

so

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

we have

`R(x)=2.8x\\C(x)=2.6x+23,400`

substitute the given functions

`P(x)=2.8x-(2.6x+23,400)`

Combine like terms

`P(x)=0.2x-23,400`