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The quantity demanded each mon

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Maximizing Profits

 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 = −0.00052x + 5    (0 ≤ x ≤ 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 − 0.00001x2    (0 ≤ x ≤ 20,000).
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).

 (Round your answer to the nearest whole number.)

 
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The quantity demanded each mon

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The quantity demanded each month of russo Espresso Makers is 250 when the unit price is $140; the quantity demanded each month is 1000 when th e unit price is $110. the suppliers will market 750 expresso makers if the unit price is $60 or higher. At a unit price of $80 they are willing to market 2250 units Both the demand and supply equations are known to be liniear.

A: Find the demand equation.

B: Find the supply equation.

C: Find the equilibrium quantity and the equilibrium price.

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