1. Which system (option) would you recommend? Please indicate in Excel Sheet if you used M/M/1 or M/M/s for each option calculation.

At the emergency department of ABC Hospitall, nurses perform screening of patients to determine the severity of their condition and establish the order in which they should be seen by the doctors. From 6:00 a.m. to 10:00 a.m., an average of 18 patients needing this service arrive per hour. Assume Poisson rates and exponential times. ABC Hospital is considering the following three options: - Option 1: Three nurses do the screening, separately. Each nurse averages 7 minutes with a patient. - Option 2: Four medical assistants do the screening, separately. Each one has an average service time of 12 minutes. - Option 3: One nurse and two medical assistants work as a team with an average service time of 3 minutes. The nurses are paid $50.00 per hour, the medical assistants are paid $35 an hour, and the patient time in the screening area is valued at $60.00 an hour. a) Which system (option) would you recommend? Please indicate in Excel Sheet if you used M/M/1 or M/M/s for each option calculation. =18/ hour a: 3 nul'ses M/M/3 system =760/ hour k=3 Therefore, L=3.2488 patients Lq=L=1.1488 Hence, Wq=Lq=0.0638 hours Thus, the cost will be, Cost = Wage + Waiting cost Cost =350+0.063860=$153.828 b: 4 medical assistants. M/M/4 system =1260/ hour =5/ hour k=4 Hence, L=10.6898 patients Lq=L=7.0898 patients Hence, Wq=Lq=0.3939 hours Thus, the cost will be, Cost = Wage + Waiting cost Cost =435+0.393960=$163.634 c: Single server system M/M/1 system =360/ hour =20/ hour k=1 Hence, L=9 patients Lq=L=8.1 patients Hence, Wq=Lq=0.45 hours Thus, the cost will be, Cost = Wage + Waiting cost Cost =50+235+0.4560=$147 Conclusion: The last option, option 3 is most cost effective. At the emergency department of ABC Hospitall, nurses perform screening of patients to determine the severity of their condition and establish the order in which they should be seen by the doctors. From 6:00 a.m. to 10:00 a.m., an average of 18 patients needing this service arrive per hour. Assume Poisson rates and exponential times. ABC Hospital is considering the following three options: - Option 1: Three nurses do the screening, separately. Each nurse averages 7 minutes with a patient. - Option 2: Four medical assistants do the screening, separately. Each one has an average service time of 12 minutes. - Option 3: One nurse and two medical assistants work as a team with an average service time of 3 minutes. The nurses are paid $50.00 per hour, the medical assistants are paid $35 an hour, and the patient time in the screening area is valued at $60.00 an hour. a) Which system (option) would you recommend? Please indicate in Excel Sheet if you used M/M/1 or M/M/s for each option calculation. =18/ hour a: 3 nul'ses M/M/3 system =760/ hour k=3 Therefore, L=3.2488 patients Lq=L=1.1488 Hence, Wq=Lq=0.0638 hours Thus, the cost will be, Cost = Wage + Waiting cost Cost =350+0.063860=$153.828 b: 4 medical assistants. M/M/4 system =1260/ hour =5/ hour k=4 Hence, L=10.6898 patients Lq=L=7.0898 patients Hence, Wq=Lq=0.3939 hours Thus, the cost will be, Cost = Wage + Waiting cost Cost =435+0.393960=$163.634 c: Single server system M/M/1 system =360/ hour =20/ hour k=1 Hence, L=9 patients Lq=L=8.1 patients Hence, Wq=Lq=0.45 hours Thus, the cost will be, Cost = Wage + Waiting cost Cost =50+235+0.4560=$147 Conclusion: The last option, option 3 is most cost effective