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The manufacturer of a CD player has found that the revenue \( R \) (in dollars) is given by \( F(p) = -5p^2 + 1260 \), where \( p \) is the unit price in dollars. If the manufacturer sets the price \( p \) to maximize revenue, what is the maximum revenue to the nearest whole dollar?

A. $852,640
B. $426,320
C. $106,580
D. $213,160

Answer :

Final answer:

The maximum revenue for the CD player is $106,580.

Explanation:

The revenue function for the CD player is given by F(p) = -5p^2 + 1260, where p is the unit price in dollars. To find the maximum revenue, we need to find the vertex of the parabola represented by the revenue function. The maximum revenue occurs when the unit price is $126 and the maximum revenue is $106,580 to the nearest whole dollar.

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