A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x < 10,000), then the price per sticker is 0.28 − 0.000002x dollars, and the total cost of producing the order is 0.087x − 0.0000005x2 dollars.

Use the fact that
profit = revenue − cost
to express P(x), the profit on an order of x stickers, as a difference of two functions of x.
p(x)=?

1 answer

well, you surely know that revenue=price*quantity. That means

R(x) = x(0.28-0.000002x)
C(x) = 0.087x-0.0000005x^2

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