Question

The revenue from selling x shirts is f(x) = 15x.

The cost of buying x shirts is c(x) = 7x + 20.
The profit from selling x shirts is p(x) = f(x) - cx).
What is p(x)?

Answer 1

p(x) = 8x - 20

Explanation:

revenue from selling x shirts is f(x) = 15x

The cost of buying x shirts is c(x) = 7x + 20

p(x) = f(x) - c(x)

To solve this, we need to substitute value of f(x) and c(x) in formula for p(x)

p(x) = f(x) - c(x)

p(x) = 15x -( 7x + 20)

=> p(x) = 15x - 7x -20

=> p(x) = 8x -20

Thus, profit is p(x) = 8x - 20.