# inter Algebra

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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 Algebra -

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 Algebra -

is \$14 by completing the square

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