SOLUTION: The school 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 school 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 (in dolla

Question 1026784: The school 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 (in dollars) will maximize the total revenue we receive for the books?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The revenue equation in this case would be
R(n) = n(720-10n),
which is a a quadratic equation with roots at n = 0, 72. (n = 0 means no production, hence 0 revenue. n = 72 means 0 sales because the price is highest at $72.)
The $ price that would yield the maximum revenue would be midway between $0 and $72, which is $36. This would give a max revenue of $12,960.
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