SOLUTION: The Art of Problem Solving has begun selling a cookbook called \What would Euler eat?" If the price of the cookbook is n dollars (n < 72), then it will sell 720

SOLUTION: The Art of Problem Solving has begun selling a cookbook called \What would Euler eat?" If the price of the cookbook is n dollars (n < 72), then it will sell 720 - 10n copies. What

Question 472409: The Art of Problem Solving has begun selling a cookbook called \What would Euler eat?"
If the price of the cookbook is n dollars (n < 72), then it will sell 720 - 10n copies. What
price will maximize the total revenue we receive for the books?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Wow, I'm actually an AoPS member (but then there's no book called "What would Euler eat")...

Assuming it sells 720 - 10n books at a price of n dollars, we can say that the revenue is n(720 - 10n) = -10n^2 + 720n. This is a parabola, in which the vertex occurs at the vertex n = 720/(2*10) = $36.
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