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- A community health system’s nurse team consists of 12 nurses working in the localcommunity. It takes a nurse 1.5 hours to complete one patient visit (including travel timeand breaks).a. What is the capacity of the nurse team over the course of a 9-hour workday?b. Assuming the demand for the nurses is 60 patients per day, what is the utilization ofthe nurse team?c. Assuming the demand for the nurses is 60 patients per day, what is the cycle time?In a job shop, effective capacity is only 88 percent of design capacity, and actual output is 69 percent of effective output. What design capacity would be needed to achieve an actual output of 11 jobs per week? What is its effective capacity?a. The Design Capacity needed to achieve the required actual job outputs =( ) (round to whole number)b. The Effective Capacity needed to achieve the required actual job outputs =( ) (round to whole number)Consider a production line with five stations. Station 1 can produce a unit in 9 minutes. Station 2 can produce a unit in 10 minutes. Station 3 has two Identical machines, each of which can process a unit in 12 minutes (each unit only needs to be processed on one of the two machines). Station 4 can produce a unit in 5 minutes. Station 5 can produce a unit in 8 minutes. a. which station is the bottleneck station?Explain with a diagram. b. What is the capacity of the production line ? c. Compute the throughput time.
- - 1 -Production & Operation ManagementHome Assignment 2Deadline : May 22nd(Mon) 2022, 23:591. (10-10) A cafeteria serving line has a coffee urn (like a system) from whichcustomers serve them selves. Arrivals at the urn follow a Poisson distribution at therate of 3 per minute. In serving themselves, customers take about 15 seconds,exponentially distributed.(a) How many customers would you expect to see, on average, at the coffee urn?(b) How long would you expect it to take to get a cup of coffee?(c) What percentage of time is the urn being used?(d) What is the probability that 3 or more people are in the cafeteria?2. (10-9) The Heart Association plans to install a free blood pressure testing booth.Previous experience indicates that, on average, 10 persons per hour request a test.Assume arrivals are Poisson distributed from an infinite population. Blood pressuremeasurements can be made at a constant time of 5 minutes each.(a) What average number in line can be expected?(b) What…McDonalds has a drive-through window and, during peak lunch times, can handle a maximum of 85 cars per hour with one person taking orders, assembling them, and acting as cashier. The average sale per order is $12.00. A proposal has been made to add two additional workers and divide the tasks among the three. One will take orders, the second will assemble them, and the third will act as a cashier. With this system, it is estimated that 120 cars per hour can be serviced. Use productivity arguments to recommend whether or not to change the current system. Hint: Productivity = revenue/labor dollarInfinite source. The following is a list of service times for three different operations.Operation Service TimeA 8 minutesB 1.2 hoursC 2 daysa. Determine the service rate for each operation.b. Would the calculated rates be different if these were interarrival times rather than service times?
- RideShare offers short-term rentals of vehicles that are kept in small lots in urbanneighborhoods with plenty of potential customers. With one lot, it has eight cars. Theinterarrival time of potential demand for this lot from its base of customers is 40 minutes.The average rental period is five hours. If a customer checks availability of vehicles in thislot online and finds that they are all rented for the desired time, the customer skips rentingand finds alternative arrangements. However, because customers pay a monthly fee tosubscribe to this service, RideShare does not want customers to be disappointed too often.a. What is the offered load?b. What is the implied utilization?c. What is the capacity of the process (rentals per hour)?d. What is the probability that all eight cars are rented at the same time?e. How many customers are served every hour?f. What is the utilization of the cars?g. How many cars should it have in this lot to ensure that it serves at least 90 percent ofdemand?A Manufacturing Corp. with three-station work cell has the process displayed below. Each workstation has only one worker to the assigned activity. Single order arrives every 7.5 hours. c) What is the cycle time corresponding to maximum throughput and actual throughput?d) Suppose that a second parallel machine is added at station 2. What is the new bottleneck timeand new throughput time of the system? How did the addition of the second machine at workstation 2 affect the performance of the work cell?To meet holiday demand, Penny’s Pie Shop requires a pro-duction line that is capable of producing 50 pecan pies perweek, while operating only 40 hours per week. There areonly four steps required to produce a single pecan pie withrespective processing times of 5 minutes, 5 minutes, 45 min-utes, and 15 minutes.a. What should be the line’s cycle time?b. What is the smallest number of workstations Penny couldhope for in designing the line considering this cycletime?c. Suppose that Penny finds a solution that requires onlyfour stations. What would be the efficiency of this line?
- A business has 4 production hubs, A, B, C & D, in series with respective capacities in units/day- (i) Determine the bottleneck hub.(ii) Determine the system capacity(iii) Determine the system efficiencyAvis Company is a car rental company that is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 2 minutes. The average traveling time (round-trip) is 20 minutes.a. How many Avis buses are traveling to and from the airport?b. The branch manager wants to improve the service and suggests dispatching buses every 0.5 minutes. She argues that this will reduce the average traveling time from the airport to the Avis offices to 2.5 minutes. Is she correct? If your answer is negative, what will the average traveling time be?Alpha Taxi and Hauling also plans to have cabs at a new rail station. The expected arrivalrate is 4.8 customers per hour, and the service rate (including return time to the rail station)is expected to be 1.5 per hour. How many cabs will be needed to achieve an average time inline of 20 minutes or less?