A repairman is to be hired by a company to repair machines that break down following a Poisson process, with an average rate of four per hour. The cost of non-productive machine time is Sh. 90 per hour. The company has the option of choosing either a fast or a slow repairman. The fast repairman charges Sh. 70 per hour and will repair machines at an average rate of 7 per hour, while the slow repairman charges Sh. 50 per hour and will repair machines at an average rate of 6 per hour. Determine the repairman who should be hired?
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- 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.The utilization of a machine is 50%. The machine has a design capacity of 70 units per hour and an effective capacity of 60 units per hour. find the effeiciency of the machine.Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of λ = 2 per 8-hour workday (approximately Poisson in nature). The crew can service an average of μ = 10 machines per workday, with a repair time distribution that resembles the negative exponential distribution. a) The utilization rate of this service system = 0.200.20 (round your response to two decimal places). b) The average downtime for a broken machine = . 40.40 days (round your response to two decimal places).
- Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of λ = 2 per 8-hour workday (approximately Poisson in nature). The crew can service an average of μ = 10 machines per workday, with a repair time distribution that resembles the negative exponential distribution. a) The utilization rate of this service system = 0.200.20 (round your response to two decimal places). b) The average downtime for a broken machine = 0.130.13 days (round your response to two decimal places). c) The average number of machines waiting to receive service at any given time = nothing machines (round your response to three decimal places)..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?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…
- 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 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. (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?
- 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 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 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…