Assume a system where the patients arrive at the registration desk of a clinic. The system is M/M/1 with the following input: Patient Arrival Time (in minutes) Service Time (in minutes) 1 0 2 2 3 5 2 3 3 4 4 7 Simulate the system for 8 minutes and calculate its performance based on the following metrics. Make sure to include the unit for each value. a) Percentage of server utilization a. Minimum b. Maximum c. Average b) Number of patients in the system a. Minimum b. Maximum c. Average c) Number of patients in the queue a. Minimum b. Maximum c. Average d) Waiting time of patients in the system a. Minimum b. Maximum c. Average e) Waiting time of patients in the queue a. Minimum b. Maximum c. Average For each value in your simulation over time, explain how you calculated these values, and the formula that you used. Explain the formulas and the rationale behind them.