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

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 p = −0.00044x + 7    (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 copiesof this classical recording is given by C(x) = 600 + 2x − 0.00001x 2 (0 ≤ 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.) how many discs/month?

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