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Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2.customers arrive each bour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) H- W- W P D) Service gowls dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met (Round your answer to one decimal place) win minutes) - min, which is Select then the desired wait time, so the goal-Select met What action do you recommend? (Select all that apply.) Decrease the servicette He another consulta There is no need to change the current operating parameters Increase the hours of operation Increase the mean rvice che autant can reduce the weate sont par customer to 7 minutes what is the mean wervice vate? (Round your swers to four decimal inceaport time in bo HE w w the regole metound your awer to one decimal place W in minutes min which than the wait time, the old The Fore and Art Marina is located on the Ohio River near Madison, Indiana, Fore and Art currently operates a docking facility where only one boat at a time can stop for gas and servicing, The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for pas andeservicing simultaneously. Assume that the arrival rate is boats per hour and that the service rate for each server is 8 boats per hour (Round your answers to four decimal places. Report time in hours.) (a) What is the probability that the boat dock will be die 0 X (b) What is the average number of boats that will be waiting for service c) What is the average time about wil spend waiting for service? (0) What the average time a dont will spend at the dock? you were the manager of Fore on Art Marine, would you be satisfied with the service level your system will be providing? Why or why not? both channels will be empty approximately of the time, and when customers do row up, they seem likely to have to wait for more than 5 minutes. On the whole, the expansion Seed be worth the needed investment Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of Jobs at the company's office can be described by a Poisson probability distribution with an artial rate of the jobs per 8-hour day. The Ume required to complete the jobs follows a normal probability distribution, withe mean time of 2.3 hours and a standard deviation of 1.6 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs (a) What is the mean arrival rate in jobs per hour? (Round your answer to four decimal places.) per hour (b) What is the mean service rate in jobs per hour? (Round your answer to four decimal places per hoc (c) What is the average number of jobs waiting for service? (Round your answer to four decimal places.) What is the average time in hours) a job waits before the welder can begin working on it (Round your answer to the decimal places toy who is the trage number of hours between when yobis received and when it is completed? (Round your answer to two decimal places What percentage of the time is truly (lound your answer to the rest whole number The Robotics Manufacturing Company operates an equipment repair business where emergency Jobs ative randomly at the rate of two jobs per hour day. The company's repair facility is a single server system operated by a repair technician. The service time varies, with a mean repair time of 3.3 hours and a standard deviation of 21 hours The company's cost of the repair operation is $26 per hour. In the economic analysis of the waiting line system. Robotics uses 536 per hour cost for customers waiting during the repair process (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places) (b) Show the operating characteristics (Round your answers to four decimal places Report time in hours) W- w Show the total cost per hour (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC-5 The company is considering purchasing a computer-based equipment repair system that would enable a constant repartine of 23 hours for practical purposes, the standard deviation is 0. Because of the computer based system, the company's cost of the new operation would be $31 per hour. What effect will the new system have on the waiting line characteristics of the repair service (Round your answers to four decimal place Report time in hours.) W W- Show the total cost per hour (press the total cost per hour in der Round your answer to the nearest cent) TCS (d) Does paying for the computer based system to reduce the variation in service time make economic sense Thermdrector of operationed the request for the new system because the hourly cost is higher and the mean real time is the same. Do you agree? How much in dollars) with new system save the Corga 40 hour work wound your answer th the nearest cent Enter there are no ) The were swings over 40 hour work week motos Based on the directors ryment should be seer A large insurance company maintains a central computing system that contains a variety of Information about customer accounts. Insurance agents in a state area use telephone lines to access the customer information database. Currently, the company's central computer system allows the users to access the central computer simultaneously Agents who attempt to use the system when it is full are dried access in waiting is allowed Management rates that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents Access requests follow a Poisson probability distribution, with a mean of 4 calls per hour. The service rate per ne is 21 calls per hour (5) What is the probability that 0, 1, 2 and 3 access lines will be in use? (Round your answers to four decimal places PO) - PC) R2) PC3) by What is the probability that an agent will be denied access to the system (Round your answers to four decimal places.) What is the average number of access lines in use? (Round your answers to two decimal places) (in placing for the future, management wants to be able to handle calls per hour. In addition, the probability that an agent will be denied access to the system should be no greater than the value computed in part(). How many should this system have