The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, produced by PhonolaMedia, is related to the price per compact disc. The equationp = -0.00041x + 6(0 < x < 12,000)wheredenotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. The totalmonthly cost (in dollars) for pressing and packaging x copies of this classical recording is given byC(x) = 600 + 2x- 0.00004x2(0 < x < 20,000).Hint: The revenue is R(x) = px, and the profit is P(x) = R(x) – C(x).Find the revenue function, R(x) = px.R(x) = -0.00041x2 + 6xFind the profit function, P(x) = R(x) – C(x).P(x) = -0.00037x² + 4x – 600Find the derivative of the profit function, P(x).P'(x) = -0.00074x + 4%3DFind the critical number of the function P(x). (Round your answer to the nearest whole number.)X =To maximize its profits, how many copies should Phonola produce each month? (Round your answer to the nearest wholenumber.)discs/month

Name: The quantity demanded each month of the Walter Serkin recording of Be
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Description: The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, produced by PhonolaMedia, is related to the price per compact disc. The equationp = -0.00041x + 6(0 < x < 12,000)wheredenotes the unit price in dollars

Given that: The equation of the profit function is P ( x) = - 0.00037 x2 + 4x - 600. The derivative…

Answered: X = To maximize its profits, how…

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Calculus

X = To maximize its profits, how number.) discs/month

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Equations, Inequalities, And Mathematical Modeling

Section: Chapter Questions

Problem 22T: On the first part of a 350-kilometer trip, a salesperson travels 2 hours and 15 minutes at an...

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