Solve the Problem $R$ (In Dollars) Is $R ( p ) = - 5 p ^ { 2 } + 1850 p$

Multiple Choice

Solve the problem.
-The manufacturer of a CD player has found that the revenue $R$ (in dollars) is $R ( p ) = - 5 p ^ { 2 } + 1850 p$ , 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) $\$ 171,125$
B) $\$ 342,250$
C) $\$ 684,500$
D) $\$ 1,369,000$