repairing the video games at Pinball Wizard, a video arcade. A maintenance worker can fix one video game machine every 8 hours on average, with an exponential distribution. An average of one video game machine fails every 4 hours, according to a Poisson distribution. Each down machine costs the Wizard $30 per hour in lost income. Each maintenance worker would cost $16 per hour. What would be the total perating costs per hour (including both lost income and labor costs) if a ourth maintenance worker is hired at the same cost?
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- Failsafe Textiles employs three highly skilled maintenanceworkers who are responsible for repairing the numerous in-dustrial robots used in its manufacturing process. A workercan fix one robot every 8 hours on average, with an exponen-tial distribution. An average of one robot fails every 3 hours,according to a Poisson distribution. Each down robot coststhe company $100.00 per hour in lost production. A newmaintenance worker costs the company $80.00 per hour insalary, benefits, and equipment. Should the manager hireany new personnel? If so, how many people? What would yourecommend to the manager, based on your analysis?A copier is able to operate for an average of 200 hours between repairs, and the mean repair time is two hours. Determine the availability of the copier.1. A single cashier handles customers that arrive at a bakery. About 34.8 customers come into the bakery per hour. It takes 73 seconds to serve each customer (standard time). 2. What is the utilization of the cashier?What is the probability there are no customers in line or at the cashier? 3. What is the probability there are less than 2 customers waiting? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Performance Evaluation and Risk Aversion Jill Lewis is the office manager of PureBreds Inc.Her office has 30 employees whose collective job is to process applications by dog owners whowant to register their pets with the firm. There is never a shortage of applications waiting to be processed, but random events beyond Lewis’s control (e.g., employees out sick) cause fluctuations inthe number of applications that her office can process. Jill is aware that it is important that the applications be processed quickly and accurately. Alex Zale, the district manager to whom Jill reports,bases his evaluation of Jill on the number of applications that are processed.Required1. If Jill is risk averse, how should Alex compensate her? Why?a. Flat salary.b. Straight commission based on the number of applications processed.c. Flat salary with a bonus based on the number of applications processed.d. Flat salary with a bonus based on the firm’s earnings.2. What is a disadvantage of an evaluation method…1. (First System) A crew of mechanics at the NCDOT repair NCDOT vehicles that break down at an average rate of λ = 4 vehicles per day. The crew can service an average of µ = 5 vehicles per day. The crew cost is $400 per day. A bureaucrat in Raleigh has determined the cost associated with lost productivity due to breakdowns is $300/day. (This includes the entire time the vehicle is unavailable—from the time it breaks down until the time it is back on the road.) 2. (Second System) This same bureaucrat thinks it would be a good idea to have two repair crews instead of one. Vehicles still break down at the same rate of 4/day. Each crew can still service 5 /day. Assume that each crew handles half of the breakdowns. Each crew costs $400/day. The cost associated with the lost productivity of an idle vehicle is still $300/day. Which system do you recommend and why?Eastern Motors Auto Dealership wanted to estimate the average CLV over a 5 year time horizon of a customer who purchases a new vehicle. The average vehicle sells for $28,939 and has a margin of 6%. Based on historical averages, 83 of people buying a new vehicle at Eastern will return for service 9 times over the next 5 years. Though it varies considerably, Eastern generates approximately $92 in margin on each service visit after accounting for parts and direct labor costs. What is the estimated 5 year value of the service component (only) of a customer who purchases a new vehicle at Eastern Motors?
- 69) please help with this Output from a process contains 0.02 defective unit. Defective units that go undetected into final assemblies cost $25 each to replace. An inspection process, which would detect and remove all defectives, can be established to test these units. However, the inspector, who can test 22 units per hour, is paid $10 per hour, including fringe benefits. Should an inspection station be established to test all units? Assume that the line will operate at the same rate (i.e., the current production rate) regardless of whether or not the inspection operation is added. b. What would be the benefit (or loss) from establishing the inspection process? Note: Input the amount as a positive value. Round your answer to 2 decimal places.A small town with one hospital has 4 ambulances to supply ambulance service. Requests for ambulances during nonholiday weekends average 0.70 per hour and tend to be Poisson-distributed. Travel and assistance time averages 2.50 hours per call and follows an exponential distribution Use Table 1. a. Find system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.) System utilization % b. Find the average number of customers waiting. (Round your answer to 3 decimal places.) Average number of customers c. Find the average time customers wait for an ambulance. (Round your answer to 3 decimal places.) Average time hour d. Find the probability that all ambulances will be busy when a call comes in. (Round intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Probability12 ed 1.00 An overhead crane of ABC Ltd. moves jobs from one machine to another and must be used every time a machine requires loading or unloading. The demand for service is random. Data taken by recording the elapsed time between service calls followed an exponential distribution having a mean of a call every 24 minutes. In a similar manner, the actual service time of loading or unloading took an average of 8 minutes. What is the average number of units in the system in the steady state? a) 0.6 Select one: O 1. c 02. a O 3. b O 4. d b) 0.9 c) 0.5 d) 0.7
- An airline is planning to open a satellite ticket desk in a new shopping plaza, staffed byone ticket agent. It is estimated that requests for tickets and information will average15 per hour and requests will have a Poisson distribution. Service time is assumed to be exponentially distributed. Previous experience with similar satellite operations suggeststhat mean service time should average about three minutes per request. Determine each ofthe following:a. System utilizationb. Percentage of time the server (agent) will be idlec. The expected number of customers waiting to be servedd. The average time customers will spend in the systeme. The probability of zero customers in the system and the probability of four customersin the system.With which decisions related to FMS design or control can the following methodsassist? Also, briefly describe how each method would be used.a. Queuing theoryEastern Motors Auto Dealership wanted to estimate the average CLV over a 5 year time horizon of a customer who purchases a new vehicle. The average vehicle sells for $28,350 and has a margin of 5%. Based on historical averages, 84 of people buying a new vehicle at Eastern will return for service 9 times over the next 5 years. Though it varies considerably, Eastern generates approximately $89 in margin on each service visit after accounting for parts and direct labor costs. Assume the 5 year value of the service component is $475. What would be the value of a service loyalty program that increased the average number of visits by 2 (over 5 years) and increased the probability that a new vehicle purchaser would return for service by 5 percentage points on a per customer basis?