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Mathematics, 30.07.2021 04:20 mrylenastewart
The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, produced by Phonola Media, is related to the price per compact disc. The equation
p = β0.00051x + 5 (0 β€ x β€ 12,000)
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 β 0.00002x2 (0 β€ x β€ 20,000).
Hint: The revenue is
R(x) = px,
and the profit is
P(x) = R(x) β C(x).
Find the revenue function,
R(x) = px.
R(x) =
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