A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at the rate of $200 per hour when in operation. However, the extruder breaks down on an average of four times every day it operates. If Y denotes the number of breakdowns per day, the daily revenue generated by the machine is

R = 1,600 50Y².

Find the expected daily revenue in dollars for the extruder.