Please answer questions (1., 2., 3., & 4.) Thank you.

Question 1: Given your understanding of arrival rate and service rate, why do we need the arrival rate to be smaller than the service rate in queueing systems? Question 2: Explain the trade-off between having too few and too much capacity: what are the two costs we are trying to balance and which direction do these costs go when we invest in more capacity? Question 3: If the arrival rate to a flu shot clinic is 6 patients per hour, what is the inter-arrival time in minutes? Question 4: Perform an economic analysis using the formula and the data below to assess the total cost (TC) of patient waiting and staffing at a given flu-shot clinic. From these calculations, how many staff members would you recommend staffing, 3, 4 or 5 staff members? Total Cost = (570 * Average Number of patients waiting) + ($25 * Number of Staff members) Average Number of Number of Total Cost = staff members patients (cost of patient waiting + staffing cost) waiting 2.89 3 4 2.17 5 2.04