You have been retained to analyze how many check-in agents should be used at a check-in counter for a large hotel. During normal business hours, customers arrive at a rate of about 24 per hour, and it takes about 7 minutes to complete the check-in process. Both the poisson distribution for arrivals and the exponential distribution for service time apply and a FIFO discipline is used. The check-in counter will accommodate as many as five agents.

Question

You have been retained to analyze how many check-in agents should be used at a check-in counter for a large hotel.  During normal business hours, customers arrive at a rate of about 24 per hour, and it takes about 7 minutes to complete the check-in process.  Both the poisson distribution for arrivals and the exponential distribution for service time apply and a FIFO discipline is used.  The check-in counter will accommodate as many as five  agents.  
 
A:utilization rate?
b.queuelength:
1 agent:
2 agents:
3 agents
4 agents
5 agents

c. waiting time:1 agent:
		2 agents:
		3 agents:
		4 agents:
		5 agents:

d. what is your recommendation? Why?

Please show all work