AVR supplies food for the vending machines at a university. As the machines are mistreated by the university students, management has to repair them. The machines break down at an average of three per hour and the breakdowns are distributed in a Poisson pattern. The time the machines are down costs the company $25/hr and each maintenance worker earns $4/hr. One worker can service the machines at a rate of five per hour, exponentially distributed; two workers working together can service at seven per hour, exponentially distributed; and a crew of three can service at eight per hour, exponentially distributed. How large should the crew size be for optimum cost? I WILL RATE YO, HELP ME.

AVR supplies food for the vending machines at a university. As the machines are mistreated by the university students, management has to repair them. The machines break down at an average of three per hour and the breakdowns are distributed in a Poisson pattern. The time the machines are down costs the company $25/hr and each maintenance worker earns $4/hr. One worker can service the machines at a rate of five per hour, exponentially distributed; two workers working together can service at seven per hour, exponentially distributed; and a crew of three can service at eight per hour, exponentially distributed. How large should the crew size be for optimum cost? I WILL RATE YO, HELP ME.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 26P

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AVR supplies food for the vending machines at a university. As the machines are mistreated by the university students, management has to repair them. The machines break down at an average of three per hour and the breakdowns are distributed in a Poisson pattern. The time the machines are down costs the company $25/hr and each maintenance worker earns $4/hr. One worker can service the machines at a rate of five per hour, exponentially distributed; two workers working together can service at seven per hour, exponentially distributed; and a crew of three can service at eight per hour, exponentially distributed. How large should the crew size be for optimum cost? PLEASE HELP ME, I NEED IT FASTLY, I WILL RATE YOU, IF YOU CAN MAKE IT IN EXCEL
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 crew of mechanics at the Highway Department garage repair vehicles that break down at an average of 3 vehicles every 12 minutes. The mechanic crew can service an average of 3 vehicles every 10 minutes with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $100 per hour. The cost associated with lost productivity from the breakdown is estimated at $50 per hour. Which is cheaper, the existing system with one service crew or a revised system with two service crews? Note that the average waiting time for adding the second crew is 0.02.
An automobile manufacturer is considering a change in an assembly line that should save money by reducing labor and material cost. The change involves the installation of four new robots that will automatically install windshields. The cost of the four robots, including installation and initial programming, is $400,000. Current practice is to amortize the initial cost ofrobots over two years on a straight-line basis. The process engineer estimates that one fulltime technician will be needed to monitor, maintain, and reprogram the robots on an ongoing basis. This person will be paid approximately $60,000 per year. Currently, the company uses four full-time employees on this job and each makes about $52,000 per year. One of these employees is a material handler, and this person will still be needed with the new process. To complicate matters, the process engineer estimates that the robots will apply the windshield sealing material in a manner that will result in a savings of $0.25 per…
The staff training center at a large regional hospital provides training sessions in CPR to all employees. Assume that the capacity of this training system was designed to be 1800 employees per year. Since the training center was first put in use, the program has become more complex, so that 1400 now represents the most employees that can be trained per year. In the past year, 1350 employees were trained. Calculate the efficiency and the utilization of this system. An executive conference center has the physical ability to handle 1,100 participants. However, conference management personnel believe that only 1,000 participants can be handled effectively for most events. The last event, although forecasted to have 1,000 participants, resulted in the attendance of only 950 participants. What are the utilization and efficiency of the conference facility? . A fleet repair facility has the capacity to repair 800 trucks per month. However, due to scheduled maintenance of their…
During the campus Spring Fling, the bumper car amusement attraction has a problem of cars becoming disabled and in need of repair. Repair personnel can be hired at the rate of $15 per hour, but they only work as one team. Thus, if one person is hired, he or she works alone; two or three people work together on the same repair. One repairer can fix cars in an average time of 40 minutes. Two repairers take 30 minutes, and three take 20 minutes. While these cars are down, lost income is $30 per hour. Cars tend to break down at the rate of 1.10 per hour. Management is trying to decide how many repair persons to hire, and has asked you for cost data. a. What is the total hourly cost with one repair person? (Round your intermediate calculations and final answer to 2 decimal places.) b. What is the total hourly cost with two repair persons? (Round your intermediate calculations and final answer to 2 decimal places.) c. What is the total hourly cost with three repair persons? (Round your…
A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 80 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour, while output increased by four carts per hour.A) Compute labor productivity under each system. Use carts per worker per hour as themeasure of labor productivity.B) Compute the multifactor productivity under each system. Use carts per dollar cost (laborplus equipment) as the measure.C) Comment on the changes in productivity according to the two measures, and on which one you believe is the more pertinent for this situation.
During the campus Spring Fling, the bumper car amusement attraction has a problem of cars becoming disabled and in need of repair. Repair personnel can be hired at a rate of $20 per hour, but they only work as one team. Thus, if one person is hired, he or she works alone; two or three people work together on the same repair. One repairer can fix cars at an average time of 30 minutes. Two repairers take 20 minutes, and three take 15 minutes. While these cars are down, lost income is $40 per hour. Cars tend to break down at a rate of two per hour. How many repairers should be hired?
A Printed Circuit Board (PCB) machine installs integrated circuits onto a board. Before starting to produce a board, the PCB machine requires a 16-minute setup. Once in production, the PCB machine requires only 0.19 minute per board. a. Currently, the PCB machine produces 525 boards between setups. Given this operating process, what is the capacity of the PCB machine (in boards per min)? b. Currently, the PCB machine produces 525 boards between setups. Given this operating process, what is the utilization of the PCB machine? c. Say the PCB machine produces 400 boards s between setups and demand is 2 boards per minute. Given the operating process, what is the avergae inventory of boards anf the PCB machine? d. Demand for boards occurs at the rate of 2 boards per minute. What is the smallest batch size such that the PCB machine does not constrain the flow rate through the process?
A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter. The snowplows break down at an average rate of 4 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 10 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. What is the system utilization? Group of answer choices 0.60 0.17 0.40 0.67
During the campus Spring Fling, the bumper car amusement attraction has a problem of cars becoming disabled and in need of repair. Repair personnel can be hired at the rate of $20 per hour, but they only work as one team. Thus, if one person is hired, he or she works alone; two or three people work together on the same repair. One repairer can fix cars in an average time of 30 minutes. Two repairers take 20 minutes, and three take 15 minutes. While these cars are down, lost income is $40 per hour. Cars tend to break down at the rate of two per hour. Management is trying to decide how many repair persons to hire, and has asked you for cost data. What is the total hourly cost with one repair person? multiple choice $60 $∞ $140 What is the total hourly cost with two repair persons? Note: Round your answer to the nearest dollar amount. What is the total hourly cost with three repair persons? Note: Round your answer to the nearest dollar amount. How many repairers…
Kitty Wonderland (KW) makes toys for cats. KW’s managers have recently learned that they can calculate the average waiting time for an order from the time an order is received and the time it is manufactured. They have asked for your help and have provided the following information. Expected number of orders for the product: 2,000 Manufacturing time per order: 4 hours Annual machine capacity in hours: 10,000 After learning about the average waiting time, KW’s managers are confused. They do not understand why, if annual machine capacity is greater than the average number of orders for the product, there would be any waiting time at all. Briefly answer the following questions Calculate the average waiting time per order. The managers have asked for your suggestions on what they can do to minimize or eliminate waiting time. How would you respond? Management is expecting sales to increase. Will average waiting time increase or decrease? Explain briefly.