Question 7 Consider a production line with five stations. Station 1 can produce a unit in 8 minutes. Station 2 can produce a unit in 7 minutes. Station three has two identical machines, each of which can process a unit in 12 minutes (each unit only needs to be processed on one of the two machines). Station 4 has two lines: one line has two continuous machines with a process time of 5 minutes/unit and 6 minutes/unit; the other line can produce a unit in 9 minutes. The bottleneck is station (just fill in a number in this question), the system process time is min/unit, the cycle time is mins. If one week has 5 working days and each day operates 8 hours, then the weekly capacity is unit/week.
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- Mr. K’s is a very popular hair salon. It offers high quality hairstyling andphysical relaxation services at a reasonable price, so it always has unlimiteddemand. The service process includes five activities that are conducted inthe sequence described below ( the time required for each activity is shownin parenthesis):Activity 1: Welcome a guest and offer homemade herb tea (10 minutes)Activity 2: Wash and condition har (10 minutes)Activity 3: Neck, shoulder, and back stress release massage (10 minutes)Activity 4: Design and hair style and do the hair (25 minutes)Activity 5: Ring up the guest bill (5 minutes)Each activity has one employee dedicated to it. For the following questions,assume unlimited demand. Also assume that the employee at activity 1 onlyadmits new guests at the rate of the bottleneck.(a) Which resource is the bottleneck?(b) What is the capacity of the process?(c) What is the flow rate?(d) What is the utilization of the employee at activity 3(e) What is the cycle time?n a manufacturing process, a molded part spends 7 hours in inventory before being placed in a deburring machine, where the part is processed for 2 minutes. After deburring, the part spends 4 hours in inventory waiting for its turn on the polishing machine. The part then spends 7 minutes in polishing before waiting 6 hours in line to be painted. The part goes through a painting process that takes 7 minutes, then spends 11 hours in inventory before being shipped to the customer. What is the percentage of value-added time for the part?Four employees at a fast-food restaurant each perform one of the four activities in serving a customer: greet customer, take order, process order, and deliver order. The processing time for each activity is given as follows: Greet customer Take order Process order Deliver order A) 50% Assume demand is unlimited. What is the average labor utilization? B) 68% C) 40% Activity D) 162% Processing time per customer 2 seconds 30 seconds 60 seconds 5 seconds
- 19-33 Waiting times, manufacturing cycle times. The IVplast Corporation uses an injection molding ma- chine to make a plastic product, Z39, after receiving firm orders from its customers. IVplast estimates that it will receive 40 orders for Z39 during the coming year. Each order of Z39 will take 120 hours of machine time. The annual machine capacity is 6,800 hours. 1. Calculate (a) the average amount of time that an order for Z39 will wait in line before it is processed and (b) the average manufacturing cycle time per order for Z39.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 together produced an average of 70 carts per hour. Workers receive $18 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 $11 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.) 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.) c. Comment on the changes in productivity according to the two measures. (Round your intermediate calculations…In order to meet holiday demand, Penny's Pie Shop requires a production line that is capable of producing 60 pecan pies per week, while operating only 40 hours per week. There are only 4 steps required to produce a single pecan pie with respective processing times of 4 min, 4 min, 36 min and 12 min. a. What should be the line's cycle time? minutes per pie. (Enter your response as an integer.) b. What is the smallest number of workstations Penny could hope for in designing the line considering this cycle time? stations. (Enter your response rounded up to the next whole number.) c. Suppose that Penny finds a solution that requires 3 stations. What would be the efficiency of this line? response rounded to two decimal places.) %. (Enter your
- 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 together produced an average of 80 carts per hour. Workers receive $18 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 5 carts per hour. Comment on the changes in productivity according to the two measures. (Round your intermediate calculations to 3 decimal places and final answers to 2 decimal places.) Labor Productivity increased by ____% Multifactor productivity increased by ___%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 $50 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 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…1. 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 100 carts per hour. Workers receive $20 per hour, and machine cost was $50 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 the measure of labor productivity. b. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure. Comment on the changes in productivity according to the two measures, and on which one you believe is the more pertinent for this situation. C.
- In order to meet holiday demand, Penny's Pie Shop requires a production line that is capable of producing 50 pecan pies per week, while operating only 40 hours per week. There are only 4 steps required to produce a single pecan pie with respective processing times of 5 min, 5 min, 45 min and 15 min. a. What should be the line's cycle time? minutes per pie. (Enter your response as an integer.) b. What is the smallest number of workstations Penny could hope for in designing the line considering this cycle time? c. Suppose that Penny finds a solution that requires 3 stations. What would be the efficiency of this line? %. (Enter your response rounded to two decimal places.) stations. (Enter your response rounded up to the next whole number.).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?The Holt Million Corporation’s plant manufactures two different products: X and Y. The plant has three different machines: A, B, and C. Each performs different tasks and can work on only one unit of material at a time. Details for each product are shown in the table below: Product X Y Demand Per Week 200 units 100 units Selling Price $150 $160 Machine Operation Required A, B, C B, B, C Operation Times in Minutes 20, 15, 15 15, 15, 15 Raw Materials Needed RM-1, RM-2 RM-2, RM-3 Raw Materials Costs RM-1 = $40/unit, RM-2 or RM-3 = $20/unit Each product uses raw materials with costs as shown in the above table where the processing times and the machine required for each operation are also shown. Each machine is available 4,800 minutes per week. There are no system foul-ups. Demand is deterministic (i. e., no uncertainty). Operating expenses, including labor (but excluding raw materials) total $12,000 per week. Assuming…