Question

Mike Dreskin manages a large Los Angeles movie theater complex called Cinema I, II, II, and IV. Each of the four auditoriums plays a different film; the schedule is set so that starting times are staggered to avoid large crowds that would occur if all four movies started at the sam time. The theater has a single ticket booth and a cashier who can maintain an average service rate of 280 movie patrons per hour. Service times are assumed to follow an exponential distribution. Arrivals on a typically active day are poisson istributed and average 210 per hour.