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 , 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 .
To maximize its profits, how many copies should Phonola produce each month? Hint: The revenue is , and the profit is .

Question

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  , 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  .
To maximize its profits, how many copies should Phonola produce each month? Hint: The revenue is  , and the profit is  .

Quizplus · Accepted Answer

The Answer of 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  , 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  .
To maximize its profits, how many copies should Phonola produce each month? Hint: The revenue is  , and the profit is  .

The Quantity Demanded Each Month of the Walter Serkin Recording