October 9, 2015

Homework Help: math

Posted by Teetee (Please Help) on Friday, November 9, 2012 at 6:13pm.

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=-0.00051x+8 (0x12,000)

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^2 (0x20,000)

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.)

? discs/month

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