Biltillverkare

A car manufacturer has a weekly cost function of C(x)=1000+5x thousand dollars. The manufacturer has been breaking even by making 1000 cars weekly and selling them at $6000 each. Market research indicates that each rebate to the customer of $50 per car will stimulate the sales of 100 additional cars weekly. What rebate should it offer in order to maximize its weekly profits?

Så har jag löst problemet:

Är inte helt säker om svaret är korrekt, men i alla fall så låter det rimligt! Vad tror ni?

Tack på förhand!