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 p = 0.00037X + 6 (0 S X 5 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 C00 = 600 + 2x 0.00003x2 (0 s x 5 20,000). Hint: The revenue is R(x) = px, and the profit is P(X) = R(X) C(x). Find the revenue function, R(X) = px. Find the profit function, P(X) = R(x) C(x). Find the derivative of the profit function, P(X). Find the critical number of the function P(X). (Round your answer to the nearest whole number.) x: To maximize its profits, how many copies should Phonola produce each month? (Round your answer to the nearest whole number.) discs/month