4. An ISE working at a local hospital has determined that patients arrive at an average rate of one every 30 minutes during the peak hours. A doctor requires an average of 20 minutes to treat each patient and there is always one doctor on duty during the peak shift. However the hospital has seen a continuing increase in the number of ER visits each year. A proposal has been made that a second doctor should be hired for this busy shift. Compare the following metrics for one doctor and two doctors: - utilization - probability of 0,1 and n patients in the system - Waiting time and length in the queue - Waiting time and length in the system - Probability that there is a wait in the queue - Probability that the wait time in the queue is more than 30 minutes What is your recommendation