SOLUTION: suppose that the manufacturer of a dvd player has found that, when the unit price is p dollars, the revenue r (in dollars) as a function of the price p is r(p)=-2.5p^2+550p. (a) fo

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Question 927621: suppose that the manufacturer of a dvd player has found that, when the unit price is p dollars, the revenue r (in dollars) as a function of the price p is r(p)=-2.5p^2+550p. (a) for what price will the revenue be maximized? (b) what is the maximum revenue?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
When the form of the equation is
, the
value of where f(x) is a maximum
occurs at
------------------------




(a)
At a price of $110 the revenue is maximized
-----------------
(b)




The maximum revenue is $30,250
--------------------------------
Here's a plot:



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