Solve the Problem $\mathrm { R }$ (In Dollars) Is $\mathrm { R } ( \mathrm { p } ) = - 5 \mathrm { p } ^ { 2 } + 1310 \mathrm { p }$

Multiple Choice

Solve the problem.
-The manufacturer of a CD player has found that the revenue $\mathrm { R }$ (in dollars) is $\mathrm { R } ( \mathrm { p } ) = - 5 \mathrm { p } ^ { 2 } + 1310 \mathrm { p }$ , 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) $\$ 85,805$
B) $\$ 171,610$
C) $\$ 343,220$
D) $\$ 686,440$