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- Shopper enter Parck place mall at an average of 120 per hour. What is the probability that at least 25 shoppers will enter the mall between 5 o’clock and 5:10 PM? A. 0 B. 0.157 C. 0.112 D. 0.5 Using poisson.dist Define event x = Mean = Interval = / Define the new event X New Mean = New interval F(x) Use the poisson formula on spreadsheetWhen you are connected to a representative, it will be, with equal probability, somebody from the billing department, customer retention department, or marketing department. When talking to a billing representative, the time until the issue is resolved is distributed uniformly from 10 to 20 minutes. Customer retention specialist will resolve you issue in exactly 2 minutes. Marketing person will first discuss with you promotions and new offers (this time will be normally distributed with average 10 minutes and standard deviation 2 minutes) and then transfer you to a new representative, who will, again be from one of the three departments with equal probability. What is the expected time that you will spend on the phone?Assume that during minute t (the current minute isminute 1), the following sequence of events occurs: (1) Atthe beginning of the minute, xt customers arrive at the cashregister; (2) the store manager decides how many cashregisters should be operated during the current minute;(3) if s cash registers are operated and i customers arepresent (including the current minute’s arrivals), c(s, i)customers complete service; and (4) the next minute begins.A cost of 10¢ is assessed for each minute a customerspends waiting to check out (this time includes checkouttime). Assume that it costs c(s) cents to operate s cashregisters for 1 minute. Formulate a dynamic programmingrecursion that minimizes the sum of holding and servicecosts during the next 60 minutes. Assume that before thefirst minute’s arrivals, no customers are present and thatholding cost is assessed at the end of each minute.
- Chapter 5. (M/M/s/K Model). Leia is responsible for 8 computers in the IT offices in a small business called DataWish. Each computer runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the "arrival" of each computer for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would bel units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (p) Performance Measures c. If we assign a cost of waiting as $500 per week per computer and $800 per week of hiring Leia, what is the Total Time Cost per week cost of servicing the machines? PO (probability that sytem is empty) % dollars L (average units in system) units d. If DataWish decides to hire another individual to help Leia, what would the new Total Time Cost per…Chapter 5. (M/M/s/K Model). Leia is responsible for 8 computers in the IT offices in a small business called DataWish. Each computer runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the "arrival" of each computer for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would be units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (p) % Performance Measures PO (probability that sytem is empty) L (average units in units system) La (average units waiting in queue) units W (average time in the weeks system) Wq (average time in the queue) weeks c. If we assign a cost of waiting as $500 per week per computer and $800 per week of hiring Leia, what is the Total Time Cost per week cost of servicing the…Chapter 5. (M/M/s/K Model). Leia is responsible for 12 dataunits in the IT offices in a small business called DataWish. Each dataunit runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the "arrival" of each dataunit for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would be units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/S/K system: Utilization Factor (p) % Performance Measures PO (probability that sytem is empty) % L (average units in system) units Lq (average units waiting in queue) units W (average time in the weeks system) Wq (average time in the queue) weeks c. If we assign a cost of waiting as $400 per week per dataunit and $800 per week of hiring Leia, what is the Total Time Cost per week cost of servicing the…
- please dont answer in image format. Do type ThnksChapter 5. (M/M/s/K Model). Leia is responsible for 13 data units in the IT offices in a small business called DataWish. Each data unit runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the “arrival” of each data unit for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would be units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (ρ) % Performance Measures P0 (probability that sytem is empty) % L (average units in system) units Lq (average units waiting in queue) units W (average time in the system) weeks Wq (average time in the queue) weeks c. If we assign a cost of waiting as $400 per week per data unit and $800 per…A). What is the bank's lowest total cost? (Express you answer in $) B). How many full-time employees should start working at 10am? C). How many full-time employees should be working during 10am to 11am?
- Provide instead: 3 Positive and 3 negative outcomes for forecasting 3 Positive and 3 negative outcomes for queuing modelOnly need (H) answered.A worker at the State Unemployment Office isresponsible for processing a company’s forms when it opensfor business. The worker can process an average of 4 formsper week. In 2002, an average of 1.8 companies per weeksubmitted forms for processing, and the worker had abacklog of .45 week. In 2003, an average of 3.9 companiesper week submitted forms for processing, and the workerhad a 5-week backlog. The poor worker was fired and suedto get his job back. The court said that since the amount ofwork submitted to the worker had approximately doubled,the worker’s backlog should have also doubled. Since his backlog increased by more than a factor of 10, he must havebeen slacking off, so the state was justified in firing him.Use queuing theory to defend the worker (based on an actualcase!).