You are reviewing a process within your organization where there are indications of customer dissatisfaction with waiting too long for service. The management team has determined that an average wait time for 30 minutes is normal. Peak demand data indicates:
Average arrival rate: 5 minutes
Standard deviation of arrivals: 10 minutes
Average time of service: 3 minutes
Standard deviation of service time: 4.5 minutes
utilization: 85%
What is the wait time in minutes? Show your work