Maximizing Profits The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, produced by Phonola Media, is related to the price per compact disc. The equation

$)x(12,000$

where $p$ denotes the unit price in dollars and $x$ is the number of discs demanded, relates the demand to the price. The total monthly cost $($in dollars$)$ for pressing and packaging $x$ copies of this classical recording is given by

$)x(20,000$

To maximize its profits, how many copies should Phonola produce each month? Hint: The revenue is $R(x)=px,$ and the profit is $P(x)=R(x)-C(x).($Round your answer to the nearest whole number.$)$

$10,500,000$

discs$/$month