Consider a line consisting of only one machine. This machine takes on average 4 minutes (te=4 min) to complete a job and Ca²=Ce²=1. The arrival rate of the parts to this machine is 1/8 part/minutes. Assume that there is enough space for only 5 parts between the machines (Hint: the buffer size, b, is 5.) Compute the expected CT of this production line. CT-
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- A lab provides ultrasound service to patients. The service process consists of two steps: 1. Registration. Performed by a receptionist (Salary rate = $25/hr; Process time = 6 minutes/patient) 2. Ultrasound scan. Performed by a technician (Salary rate = $30/hr; Process time = 20 minutes/patient) Note that the ultrasound images need to be read by radiologists, but we assume that they have an ample capacity and thus will not model the role in the service process. Currently, the lab has 2 receptionists and 3 technicians. The manager anticipates demand to grow to 14 patients/hr in the near future. Thus, he plans to hire more receptionists and/or technicians to increase the service capacity to at least 14 patients/hr. What would be the extra payroll cost (in dollars per hr)?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?Navern Corporation manufactures and sells custom home elevators. From the time an order is placed until the time the elevator is installed in the customer's home averages 141 days. The 141 days are spent as follows: Wait time Inspection time Process time Move time Queue time What is Navern's manufacturing cycle efficiency (MCE) for its elevators? Multiple Choice O O 41.1% 30.4% 58.9% 29 days 24 days 34 days 31 days 23 days 57.4%
- C&A Candy produces two kinds of gumdrops: regular and sugar-free. The data on these gumdrops are given below: Regular Sugar-Free 30 10 60 30 80 80 Demand (lbs per hour) Changeover time (min) Production rate (lbs per hour) C&A first makes 60 pounds of regular gumdrops, then 20 pounds of sugar-free gumdrops, and then repeats this sequence. What is the utilization of the production process? Multiple Choice O O O 25% 20% 50% 40%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?An engineering i rm retains a technical specialist to assist four design engineers workingon a project. The help that the specialist gives engineers ranges widely in time consumption.The specialist has some answers available in memory, others require computation,and still others require signii cant search time. On the average, each request for assistancetakes the specialist one hour.The engineers require help from the specialist on the average of once each day. Becauseeach assistance takes about an hour, each engineer can work for seven hours, on the average,without assistance. One further point: Engineers needing help do not interrupt if thespecialist is already involved with another problem.Treat this as a i nite queuing problem and answer the following questions:a. How many engineers, on average, are waiting for the technical specialist for help?b. What is the average time that an engineer has to wait for the specialist?c. What is the probability that an engineer will have to wait…
- 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 5 workers, who together produced an average of 90 carts per hour. Workers receive $13 per hour, and machine cost was $30 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 5 carts per hour. a. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. (Round your answers to 3 decimal places.) Before carts per worker per hour After carts per worker per hour b. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure. (Round your answers to 3 decimal places.) Before carts/dollar cost…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 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 answer
- 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 5 workers, who together 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 4 carts per hour. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity.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 machine can operate for an average of 10 weeks before it needs to be overhauled, a process which takes two days. The machine is operated five days a week. Compute the availability of this machine. (Hint: All times must be in the same units.)