Hyatt hotel is considering changing its waiting line system. In the current system, hotel guests divide themselves equally between the lines that form in front of 4 hotel clerks. The manager is considering having hotel guests wait in one line and then proceed to the next available clerk. If average service time is 10 minutes and the average number of arrivals per hour is 12 guests, determine which system results in the lowest customer waiting time (average time a customer spends waiting in the queue).

Hint: The current system consists of four single-server queues, but the proposed system is a multiple-server queue with four servers.