Donna Shader, manager of the Winter Park Hotel, is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks on duty, each with a seperate wiatnig line, during the peak check-in time of 3:00pm to 5:00pm. Observation of arrivals during this time show an average of 90 guests arrive each hour (although there is no upward limit on the number that could arrive at any given time). It takes an average of 3 minutes for the front-desk clerk to register each guest. Donna is considering three plans for improving guest service by reducing the length of time guests spend waiting in line. The first proposal would designate one employee as a quick-service clerk for guests registering under corporate accounts, a market segment that fills about 30% of all occupied rooms. Because corporate guests are preregistered, their registration takes just 2 minutes. With these guests seperated from the rest of the clientele, the average time for registering a typical guest would climb to 3.4 minutes. Under plan 1, noncorporate guests would chose any of the remaining four lines. The second plan is to implement a single-line system. All guests could form a single waiting line to be served by whichever of five clerks become availalalbe. This option would require sufficient lobby sapce for what could be a substantial queue. The third proposal involves using an automatic teller machine (ATM) for check-ins. This ATM would provide approximately the same service rate as a clerk would. Given that initial use of this technology might be minimal, Shader estiamted that 20% of customers, primarily frequent gusts, would be willing to use the machines. (This might be a conservative estimate if the guests perceive direct benefits from using the ATM, as bank customers do. Citibank reports taht some 95% of its Manhattan customers use its ATMS) Donna would set up a single queue for customers who prefer human check-in clerks. This would be served by the five clerks, although Donna is hopeful that the machine will allow a reduction to four.

1) determine the average amount of time that a guest spends checking in. How would this change under each of the state options?
2) which option do you recommend?