Question 4 The Samsonite Store sells luggage and does most of its business between 6pm and 9pm. During this time, it is observed that customers arrive at the check out counter with an average interarrival time of 2 minutes. It takes an average of 0.05 hours to service one customer at the check out counter. I a. Determine the service and arrival rate per minute. (2 marks) b. Analyze the performance characteristics of this line and explain what would happen if the store operates a single check out counter during this time period. (8 marks) c. The store has a policy that customers should not wait longer than one minute to begin the check out operations. Determine the minimum number of check out counters required to meet this policy. Clearly show your analysis. (10 marks)