The revenue, R(x), from selling x units of a product is represented by the equation R(x) = 35x, while the total cost, C(x), of making x units of the product is represented by the equation C(x) =20x +500. The total profit, P(x), is represented by the equation P(x) =R(x) - C(x). For the values of R(x) and C(x) given above, what is P(x)? *


a) 15x

b) 15x+500

c) 15x-500

d) 10x+100

Respuesta :

Answer:

c) 15x-500

Step-by-step explanation:

Step one:

given data

Revenue

[tex]R(x) = 35x[/tex]

Total cost

[tex]C(x) =20x +500[/tex]

profit

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

Required

the value of  P(x)

Step two:

substituting we have

[tex]P(x) =35x- (20x+500)\\P(x)=35x-20x-500\\\\P(x)=15x-500[/tex]

Option C is correct

c) 15x-500