Question

Susie makes jewelry to sell at the flea market. She knows her profit function is P(x)=−2x2+20x−17 and her cost function is C(x)=17+10x, where x is the number of items produced. Calculate her revenue function.

Answer 1

Profit = Revenue less Costs. Thus, Revenue = Profit(x) + Costs(x).

Here,

Profit(x) = P(x) = -2x^2 + 20x - 17, and Costs(x) = 17 + 10x. Thus,

Revenue(x) = R(x) = -2x^2 + 20x - 17 + 17 + 10x

R(x) = -2x^2 + 30x (answer)