3. VW is a popular sandwich shop on campus during lunch hours. The arrival rate is 40 students/hour from 10 to 11am, 80 students/hr from 11am to 12pm, 100 students/hour from 12 to 1pm, and 10 students/hour from 1 to 2pm. Suppose that there are no students arriving before 10am or after 2pm. Also suppose the arrival of students is uniform within each time segment. The sandwich shop serves students at a constant rate of 50students/hour. What is the maximum number of students waiting between 10am to 2pm