Posted by **linda** on Sunday, November 14, 2010 at 12:54am.

A band can sell 80 CDs at concert if they sell the Cds for $12 each. For every $1 increase in the price, they will sell 5 fewer Cds. Determine the price for a CD that will maximize the band's revenue.

- inter Alegbra -
**drwls**, Sunday, November 14, 2010 at 8:29am
Let x be the price.

The number sold is

N = 80 - 5(x -12)= 140 -5x.

The revenue is 140x -5x^2 dollars.

Try completing the square, since you probably don't know how to use differential calculus yet. Maximum revenue ($980) is at a price where

140 - 10x = 0

x = $14

At a price of $13 or $15, the revenue is $975.

- inter Alegbra -
**linda**, Sunday, November 14, 2010 at 12:01pm
is $14 by completing the square

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