a) A repairman is to be hired by a company to repair machines that break down following aPoisson process, with an average rate of four per hour. The cost of non-productive machinetime is Sh. 90 per hour. The company has the option of choosing either a fast or a slowrepairman. The fast repairman charges Sh. 70 per hour and will repair machines at an averagerate of 7 per hour, while the slow repairman charges Sh. 50 per hour and will repair machinesat an average rate of 6 per hour. Determine the repairman who should be hired?

Answered: A repairman is to be hired by a company…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A tractor shop that is staffed only by one employee. Suppose that the arrival table corresponds to a Poisson process, so that service times follow exponential distributions. Let us consider that, after observing the evolution of the workshop, it is estimated that the arrival rate is 10 vehicles per day and that the service time is one hour. Assuming that the employee fixes the tractors in strict order of arrival and taking a 12-hour working day, the following questions are asked: a) Average time each tractor must wait to be repaired. b) Probability that a tractor is in the workshop for more than one day. c) Average time that a vehicle is in the system.
.A team of 10 unloaders is employed in good reception bay of a large warehouse. During an 8 hour day 40 lorries arrive and it takes the team 10 minutes to unload each lorry. Each team member is paid RM3 per hour and it costs RM10 per hour to keep lorries waiting. Studies show that increasing the team to 14 men would reduce the unloading time to 7 minutes. Would it be worthwhile increasing the team to 14?
38) Daisy's Shop Daisy runs a shop where she is able to serve an average of 9 customers per hour. An average of 5 customers per hour arrive at her shop. What is the average number of customers at the shop (either waiting in line or being served)? Group of answer choices a) 1.8 b) 2.67 c) 1.25 d) 0.56 e) 0.69 f) 3.00
Customers arrive at a one window drive according to a poison distribution with mean of 10 minutes and service time per customer is exponential with mean of 6 minutes. The space in front of the window can accommodate only three vehicles including the serviced ones. Other vehicles are have to wait outside this space. Calculate:a. A. probability that an arriving customer can drive directly to the space in front of the windowb. Probability that an arriving customer will have to wait outside the directed space c. How long an arriving customer is expected to wait before getting the service?
Consider the problem of assigning multiple jdentical machines to an individual operator for the following situations: the loading and unloading time is 5 minutes, the independent operator activity time is 2 minutes, the independent machine activity time is 15 minutes. (a) How many machines should be assigned so that the operator will not be idle? What is the machine idle time in this case? (b) How many machines should be assigned so that machines will not be idle? What is the operator idle time in this case?
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?
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?
The consumer loan division of a major bank wants to determine the size of the staff it would need to process up to 200 loan applications per day. It estimated that each loan officer can process a loan application in approximately 15 minutes. If the utilization of a loan officer is 0.70 (70 percent) and each loan officer works seven hours each day, how many loan officers would be needed to handle that volume of business? Round your answer up to the nearest whole number. loan officers
Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of λ = 4 per 8-hour workday (approximately Poisson in nature). The crew can service an average of μ = 6 machines per workday, with a repair time distribution that resembles the negative exponential distribution. a) The utilization rate of this service system (round your response to two decimal places)
In the welding operations of a bicycle manufacturer, a bike frame has a flow time of about 14.35 hours. The time in the welding operation is spent as follows: 3 hours waiting in front of the cutting machine for the batch to start, 2 hours waiting for the setup of the machine, 1 hour waiting for the other pieces of the batch to go through cutting, 2 minute at the cutting machine, and 3 hours waiting for the transfer to the welding machine. Then, at the welding machine, the unit spends 1 hour waiting in front of the welding machine for the batch to start, 2 hour waiting for the setup of the welding machine, 0.35 hour waiting for the other pieces of the batch to go through welding, 0.25 minute at the welding machine, and 2 hour waiting for the transfer to the next department. (Round your percentage answer to 4 decimal places.) Determine the exact flow time. What is the value-added percentage of the flow time? percent

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