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 -0.00045x + 10 (OSX 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 CX) - 600 + 2x -0.00001x? (OSX 20,000). Hint: The revenue is ROX) - px, and the profit is Px) = R(x) - C(x). Find the revenue function, R(x) - px R(X) Find the profit function, PEX) R(x) - CEx). PX) Find the derivative of the profit function, P(x). Pix) Find the critical number of the function Px). (Round your answer to the nearest whole number.) To maximize its profits, how many copies should Phonola produce each month? (Round your answer to the nearest whole number.) discs/month