hour and the service rate is 10 per hour for each server. Your analysis has determined that servers are $30 per hour ar cost of customers waiting is $40 per hour. What is the server cost, wait cost and total cost per hour for 2 servers? What is the server cost, wait cost and total cost per hour for 3 servers?
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- In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. What is the expected number of customers in the queue(Lq)? Note: Round your answer to 3 decimal places. What is the expected waiting time in the queue(Wq)?The time from when a patient is discharged from NorthShore Hospital to the time the discharged patient’s bed isready to be assigned to a new patient is referred to as thebed assignment turnaround time. If the bed turnaroundtime is excessive, it can cause problems with patient flowand delay medical procedures throughout the hospital. Thiscan cause long waiting times for physicians and patientsthus creating customer dissatisfaction. The admissions RNhas assigned a patient care associate to measure the bedturnaround time for a randomly selected bed each morning,afternoon, and evening for 30 days. Following are the bedturnaround time sample observations:a. Develop an x-chart to be used in conjunction with anR-chart using 3 limits to monitor the bed turnaroundtimes and indicate if the process is in control usingthese charts.b. Is the hospital capable of consistently achieving bedturnaround times of 120 minutes 15 minutes withoutimproving the process?Consider a queuing system with a Poisson input and exponential service times. Suppose there is one server and the expected service time is exactly one minute. Compare Ls for the cases where the mean arrival rate is 0.5, 0.9 and 0.99 customers per minute, respectively. Do the same for Lq, Ws, Wq and P(W>5) or the probability of waiting time in the system.