Question

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

Answer 1

c) 15x-500

Explanation:

Step one:

given data

Revenue

`R(x) = 35x`

Total cost

`C(x) =20x +500`

profit

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

Required

the value of P(x)

Step two:

substituting we have

`P(x) =35x- (20x+500)\\P(x)=35x-20x-500\\\\P(x)=15x-500`

Option C is correct

c) 15x-500