contestada

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.

Respuesta :

calculista

Answer:

[tex]P(x)=0.2x-23,400[/tex]

Step-by-step explanation:

we know that

The profit is equal to the revenue minus the cost

Let

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

so

[tex]P(x)=R(x)-C(x)[/tex]

we have

[tex]R(x)=2.8x\\C(x)=2.6x+23,400[/tex]

substitute the given functions

[tex]P(x)=2.8x-(2.6x+23,400)[/tex]

Combine like terms

[tex]P(x)=0.2x-23,400[/tex]