Chapter 12, Problem 33QP

Graph and Solve. Kindly show the probabilities and explain how to solve this question.  The time between arrival of customers at the drive-up window of a bank follows an exponential distribution with mean of 8  minutes. a.What is the probability that arrival time between customers will be 10 minutes or less? b.What is the probability that arrival time between customers will be between 5 and 9 minutes?

Solve the question below using the attached excel templates with formulas for renting both slow and fast copies (labeled in the excel tabs). Question: The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour?

Solve the question below using the attached excel templates with formulas for renting both slow and fast copies (labeled in the excel tabs). Question: The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour?

11 The director of an emergency room, Simran Kaur, hasobserved that patient traffic at the emergency roomfollows a seasonal pattern, with higher patient trafficon weekends that on weekdays. She has gathered thefollowing data on daily patient admissions during the past4 weeks.Day                                                           Week                                                      1                        2                       3                                     4Monday                                       110                   105                    109                                 112Tuesday                                        95                    100                      92                                  88Wednesday                                   89                     85                       80                                  84Thursday                                       93                      96                      78…

. An automobile dealer is planning a new custom service center to repair the microcomputer-based engine controls in new-model cars. With the new diag- nostic equipment they are installing, each job should take about 75 minutes to complete. The dealer plans to operate the center 8 hours per day. Preliminary estimates suggest that about 5 customers will bring their cars for repair each day. To analyze this situation, make the following assumptions: The customer arrivals form a Poisson process. Each job requires on average 75 minutes. We can ignore the time that the service center is closed. (That is, no arrivals occur during such gaps, and we don't count them in the total response time.) (a) Measure time in hours. In the terms of queueing theory, what are A, μ, and p? (b) Compute an estimate of the average total response time (which we call Ts). 2 (c) Estimate the average number of cars in the center (including those waiting as well as in service). (d) Suppose the average number of…

At Trojans Urgent Care Clinic, there is one triage nurse, 5 nurse practitioners, and 3 doctors. Patients arrive to the triage nurse, and the triage nurse decides if their case can be handled by a nurse practitioner or must be handled by a doctor. The triage nurse can detect patients whose case can be handled by a nurse practitioner in on average 5 minutes with standard deviation 1 minute; however, the triage nurse spends on average 10 minutes with standard deviation 3 minutes with patients whose case is eventually handled by a doctor. Patients seeing a nurse practitioner spend on average 30 minutes with standard deviation 8 minutes with the nurse practitioner, and patients seeing a doctor spend on average 45 minutes with standard deviation 10 minutes with the doctor. 60% of arriving patients are cared for by a nurse practitioner and 40% of arriving patients are cared for by a doctor. Patients leave the Urgent Care Clinic after seeing either the nurse practitioner or the doctor. a) If 8…

The College of Business and Public Administration at Benton University has a copy machine on each floor for faculty use. Heavy use of the five copy machines causes frequent failures. Maintenance records show that a machine fails every 2.5 days (or l = 0.40 failure/day). The college has a maintenance contract with the authorized dealer of the copy machines. Because the copy machines fail so frequently, the dealer has assigned one person to the college to repair them. The person can repair an average of 2.5 machines per day. Using the finite-source model, answer the followingquestions: a. What is the average utilization of the maintenance person?b. On average, how many copy machines are being repaired or waiting to be repaired?c. What is the average time spent by a copy machine in the repair system (waiting and being repaired)?

Customers arrive at a one window drive according to a poison distribution with mean of 10 minutes and service time per customer is exponential with mean of 6 minutes. The space in front of the window can accommodate only three vehicles including the serviced ones. Other vehicles are have to wait outside this space. Calculate:a. A. probability that an arriving customer can drive directly to the space in front of the windowb. Probability that an arriving customer will have to wait outside the directed space c. How long an arriving customer is expected to wait before getting the service?

establish the significance of random numbers in Monte Carlo simulations.