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April 18, 2014

April 18, 2014

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

p=-0.00051x+8 (0¡Üx¡Ü12,000)

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 (0¡Üx20,000)

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

- math -
**Steve**, Friday, November 9, 2012 at 8:32pmso, use the hint:

R(x) = x*p(x) = -0.00051x^2+8x

P(x) = R(x) - C(x)

= 2.04*10^-8 x^4 - .00134x^3 + 15.694x^2 + 4800x

P'(x) = 0 at x = 9929 or so.

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