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Mathematics
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The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, manufactured by Phonola Record Industries, is related to the price/compact disc. The equation p=-0.0004x+7 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 xcopies of this classical recording is given by C(x)=600+2x-0.00001x^2 To maximize its profits, how many copies should Phonola produce each month? Hint: The revenue is R(x) = px, and the profi
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