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 = 0.00041x+8 (0 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 C(x) = 600 + 2x 0.00004x (0 x 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. R(x) = Find the profit function, P(x) = R(x) C(x). P(x) = Find the derivative of the profit function, P(x). 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