Question

Video games sold: x Revenue function: R(x) = 60x Cost function: C(x) = 12 + 7x Profit function: P(x) = What is the profit earned from selling 20 video games?

Answer 1

Profit function: P(x) = 53x-12

P(20)=$1048

Answer 2

Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.

Explanation:

In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x for the sale of x video games

As we know profit = sale price - cost price

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

Or P(x) = (R-C)x = 60x - (12+7x)

P(x) = 60x -12 - 7x

P(x) = 53x -12

Now the profit on selling 20 video games will be

P(20) = 53×20 -12 = 1060 -12 = 1048.