Answer all questions. Or I will dislike your answer

7. Tax-payers are lining up, on June 29th, in order to file their income tax returns. The arrival of the tax-payers is Poisson, at a mean rate of 5 per minute. The I.T. officer wishes that no tax- payer should suffer for more than 10 minutes in the queueing system. If only one clerk is serving, what should be the rate at which the clerk disposes the tax returns? What if the number of clerks is two? 8. For the above two cases plot the server utilisation vs. length of the queue. 9. IIM faculty members (Prof. Chary's team) are interviewing the applicants for admission. The interviews start at 9.00 a.m. and each applicant has been asked to come at 15 minutes interval starting from 9.00 a.m. (each applicant is given a specific time). In spite of the apparent constancy of the interview timings and applicant arrival times, there are variations. The probabilities for the different times are given below: Interviewing period 4 out of 10 cases will take 15 minutes. 2 out of 10 cases will take 20 minutes. 1 out of 10 cases will take 25 minutes. Copyright Production and Operations Management 2 out of 10 cases will take 10 minutes. 1 out of 10 cases will take 5 minutes. Times of arrival for the interview 2 out of 10 cases will come 5 minutes earlier than scheduled. 2 out of 10 cases will come 10 minutes earlier than scheduled. 3 out of 10 cases will come on right time. 2 out of 10 cases will come 5 minutes late. I out of 10 cases will be absent. The appointments, as earlier scheduled, are as follows: 9.00, 9.15, 9.30, eto, up to 11.00 am 11.00 to 11.15 a.m. is coffee-time for the faculty. Next from 11.15 a.m., the interviews are scheduled up to 1.00p.m. 100 p.m. to 2 p.m. is lunch hour. The interviews are scheduled again up to 4 p.m. at 15 minutes intervals. It may be noted that the coffee-break and lunch break have to be of 15 minutes and 1 hour duration even if they are delayed or early. Also, if a candidate is available earlier than his scheduled time and if Prof. Chary's team is free, they will take the candidate for interviewing. Prof. Chary has promised to fetch his father from the airport at 4.00 p.m. By simulating the day's activities 10 times, answer: Would Prof. Chary be able to leave for the airport at 4.00p.m.? If not, what changes in the queue system do you suggest in order that the Professor be able make it to the airport on time? 10. How can simulation be used for incorporating 'risk' into the capital budgeting decision under uncertainty? 7. Tax-payers are lining up, on June 29th, in order to file their income tax returns. The arrival of the tax-payers is Poisson, at a mean rate of 5 per minute. The I.T. officer wishes that no tax- payer should suffer for more than 10 minutes in the queueing system. If only one clerk is serving, what should be the rate at which the clerk disposes the tax returns? What if the number of clerks is two? 8. For the above two cases plot the server utilisation vs. length of the queue. 9. IIM faculty members (Prof. Chary's team) are interviewing the applicants for admission. The interviews start at 9.00 a.m. and each applicant has been asked to come at 15 minutes interval starting from 9.00 a.m. (each applicant is given a specific time). In spite of the apparent constancy of the interview timings and applicant arrival times, there are variations. The probabilities for the different times are given below: Interviewing period 4 out of 10 cases will take 15 minutes. 2 out of 10 cases will take 20 minutes. 1 out of 10 cases will take 25 minutes. Copyright Production and Operations Management 2 out of 10 cases will take 10 minutes. 1 out of 10 cases will take 5 minutes. Times of arrival for the interview 2 out of 10 cases will come 5 minutes earlier than scheduled. 2 out of 10 cases will come 10 minutes earlier than scheduled. 3 out of 10 cases will come on right time. 2 out of 10 cases will come 5 minutes late. I out of 10 cases will be absent. The appointments, as earlier scheduled, are as follows: 9.00, 9.15, 9.30, eto, up to 11.00 am 11.00 to 11.15 a.m. is coffee-time for the faculty. Next from 11.15 a.m., the interviews are scheduled up to 1.00p.m. 100 p.m. to 2 p.m. is lunch hour. The interviews are scheduled again up to 4 p.m. at 15 minutes intervals. It may be noted that the coffee-break and lunch break have to be of 15 minutes and 1 hour duration even if they are delayed or early. Also, if a candidate is available earlier than his scheduled time and if Prof. Chary's team is free, they will take the candidate for interviewing. Prof. Chary has promised to fetch his father from the airport at 4.00 p.m. By simulating the day's activities 10 times, answer: Would Prof. Chary be able to leave for the airport at 4.00p.m.? If not, what changes in the queue system do you suggest in order that the Professor be able make it to the airport on time? 10. How can simulation be used for incorporating 'risk' into the capital budgeting decision under uncertainty