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 = 0.00032x + 5 with 0≤x<12000, 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 C(x) = 600 + 2x - 0.00002x^2 with 0≤x≤20000. To maximize its profits, how many copies should Phonola produce each month?
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 = 0.00032x + 5 with 0≤x<12000, 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 C(x) = 600 + 2x - 0.00002x^2 with 0≤x≤20000. To maximize its profits, how many copies should Phonola produce each month?
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter3: Math Models
Section3.3: Solve Mixture Applications
Problem 205E: As the treasurer of her daughter’s Girl Scout troop, Laney collected money for some girls and adults...
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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 = 0.00032x + 5 with 0≤x<12000, 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 C(x) = 600 + 2x - 0.00002x^2 with 0≤x≤20000. To maximize its profits, how many copies should Phonola produce each month?
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