Solve the problem.
-The manufacturer of a CD player has found that the revenue R (in dollars) is $$R ( p ) = - 5 p ^ { 2 } + 1,460 p$$ when the unit price is p dollars. If the manufacturer sets the price p to maximize revenue, what is the maximum revenue to the nearest whole dollar?
A) $106,580
B) $426,320
C) $213,160
D) $852,640

Question

Quizplus · Accepted Answer

The maximum revenue occurs at the vertex of the parabola, which is at p = 146. Plugging this value into the revenue function gives R(146) = 106,580.

Solve the Problem R(p)=−5p2+1,460pR ( p ) = - 5 p ^ { 2 } + 1,460 pR(p)=−5p2+1,460p

Solve the Problem $R ( p ) = - 5 p ^ { 2 } + 1,460 p$