Answered

The Art of Problem Solving has begun selling a cookbook called "What Would Euler Eat?" If the price of the cookbook is $n$ dollars ($n \le 72$), then it will sell $720 - 10n$ copies. What price (in dollars) will maximize the total revenue we receive for the books?

Answer :

peterlypetersome

Answer:

$12960

Explanation:

Total Revenue= Price x Quantity Sold

Price= $n

Quantity Sold= $720-10n

Therefore, TR= n (720-10n)

                  TR= 720n-10n^2

                  TR= -10n^2 + 720n    

n=720

   2x10

n=$36

To maximize TR,

Since n=S36

TR= -10(36)^2 + 720 (36)

TR= $12960

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