A Small Theater Has a Seating Capacity of 2000 $R ( x ) = - 50 x ^ { 2 } + 2500 x , 10 \leq x \leq 20$

Multiple Choice

A small theater has a seating capacity of 2000.When the ticket price is $20, attendance is 1500.For each $1 decrease in price, attendance increases by 50.The revenue R of the theater as a function of ticket price x is as follows $R ( x ) = - 50 x ^ { 2 } + 2500 x , 10 \leq x \leq 20$ What ticket price will yield a maximum revenue?

A) $55.00
B) $35.00
C) $25.00
D) $45.00
E) $65.00