A laundromat has five washing machines. A typical machine breaks down once every five days. A repairman can repair a machine in an average of 2.5 days. Currently, three repairmen are on duty. The owner of the laundromat has the option of replacing them with a superworker, who can repair a machine in an average of 5/6 of a day. The salary of the superworker equals the pay of the three regular employees. Breakdown and service times are exponential. Should the laundromat replace the three repairers with the superworker?
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A laundromat has five washing machines. A typical machine breaks down once every five days. A repairman can repair a machine in an average of 2.5
days. Currently, three repairmen are on duty. The owner of the laundromat has the option of replacing them with a superworker, who can repair a machine in an average of 5/6 of a day. The salary of the superworker equals
the pay of the three regular employees. Breakdown and service times are exponential. Should the laundromat replace the three repairers with the superworker?
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- 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 6 workers, who produced an average of 78 carts per hour. Workers receive $10 per hour, and machine coast was $36 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $13 per hour while output increased by four carts per hour.a) Compute the multifactor productivity (MFP) (labor plus equipment) under the Prior to buying the new equipment. The MFP (carts/$) = (round to 4 decimal places).b) Compute the % growth in productivity between the Prior to and after buying the new equipment. The growth in productivity = % (round to 2 decimal places)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 7 workers, who produced an average of 87 carts per hour. Workers receive $15 per hour, and machine coast was $43 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $14 per hour while output increased by four carts per hour. a) Compute the multifactor productivity (MFP) (labor plus equipment) under the Prior to buying the new equipment. The MFP (carts/S) = Blank 1 (round to 4 decimal places). b) Compute the productivity changes between the Prior to and after buying the new equipment. The productivity growth = Blank 2% (round to 2 decimal places) Blank 1 Add your answer Blank 2 Add your answerDo: 12-21 Truck drivers working for Juhn and Sons (see Problems 12-19 and 12-20) are paid a salary of $20 per hour on average. Fruit loaders receive about $12 per hour. Truck drivers waiting in the queue or at the loading gate are drawing a salary but are productively idle and unable to generate revenue during that time. What would be the hourly cost savings to the firm associated with employing two loaders instead of one? Not this: 12-19 Juhn and Sons Wholesale Fruit Distributors employs one worker whose job is to load fruit on outgoing company trucks. Trucks arrive at the loading gate at an average of 24 per day, or 3 per hour, according to a Poisson distribution. The worker loads them at a rate of 4 per hour, following approximately the exponential distribution in service times. Not this: 2-20 Juhn believes that adding a second fruit loader will substantially improve the firm’s efficiency. He estimates that a two-person crew, still acting like a single-server system, at the loading…
- 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. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure.A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labour 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 100 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 20 carts per hour. a. The labor productivity under the old system is Blank 1. Fill in the blank, read surrounding text. and the new system is Blank 2. Fill in the blank, read surrounding text. carts per worker per hour. b. Compute the total factor productivity under each of the systems. Old system Blank 3. Fill in the blank, read surrounding text.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?
- 2. A repair and inspection facility consists of two stations: a repair station with two technicians, and an inspector station with 1 inspector. Each repair technician works at the rate of 3 items per hour; the inspector can inspect 8 items per hour. Approximately 10% of all items fail inspection and are sent back to the repair station. (This percentage holds even for items that have been repaired two or more times.) If items arrive at the rate of 5 per hour, what is the long-run expected delay that items experience at each of the two stations, assuming a Poisson arrival process and exponentially distributed service times? What is the maximum arrival rate that the system can handle without adding personnel?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.An injector machine goes down roughly 20% of the time (the injector gums up and needs to be cleaned, a quick process). One operator is assigned to service three identical such machines. Each machine can produce 100 parts/h if running properly (i.e., not down). The operator is paid $10/h and each machine costs $20/h to operate. Consider 8hr/shift a) Please fill in the table below: b) How many parts can you produce per shift? c) What is the unit cost fper part for this operation? d) If you hire another operator at the same rate to assist the first operator, what is the unit cost now? e) Is it worth hiring another operator at the same rate to assist the first operator, in case more than one machine goes down at the same time?
- 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.An operation uses 120 Kilos of a certain material each day. Material is transported in containers that hold 20 kilos each. The plant operates on an 8 hours/day. assume that the inefficient factor for 8 this operation is 0.25. If the manager wants to have the number of containers exactly 3 per day, what would be the cycle time for container of this machine operation in hours?