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 per compact disc. The equation given below, where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. p = -0.00042x + 8 The total monthly cost (in dollars) for pressing and packaging x copies of this classical recording is given by the following equation. C(x) = 650 + 2x - 0.00002x2 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).) discs per 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 per compact disc. The equation given below, where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. p = -0.00042x + 8 The total monthly cost (in dollars) for pressing and packaging x copies of this classical recording is given by the following equation. C(x) = 650 + 2x - 0.00002x2 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).) discs per month
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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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 per compact disc. The equation given below, where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price.
p = -0.00042x + 8
The total monthly cost (in dollars) for pressing and packaging x copies of this classical recording is given by the following equation.
C(x) = 650 + 2x - 0.00002x2
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).)
discs per month
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