Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 33

The Waterfall Buffet in the lower level of the National Art Gallery serves food cafeteria-style daily to visitors and employees. The buffet is self-service. From 7:00 a.m. to 9:00 a.m. customers arrive at the buffet at a rate of 10 per minute; from 9:00 a.m. to noon, at 4 per minute; from noon to 2:00 p.m., at 14 per minute; and from 2:00 p.m. to closing at 5:00 p.m., at 8 per minute. All the customers take about the same amount of time to serve themselves from the buffet. Once a customer goes through the buffet, it takes 0.4 minute to pay the cashier. The gallery does not want a customer to have to wait longer than 4 minutes to pay. How many cashiers should be working at each of the four times during the day