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The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of two jobs per 8-hour day. The company's

image text in transcribedThe Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of two jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 3.1 hours and a standard deviation of 1.9 hours. The company's cost of the repair operation is $26 per hour. In the economic analysis of the waiting line system, Robotics uses $36 per hour cost for customers waiting during the repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.) = .2500 Correct: Your answer is correct. = .3226 Correct: Your answer is correct. (b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) Lq = 1.8347 Incorrect: Your answer is incorrect. L = 3.44 Incorrect: Your answer is incorrect. Wq = 10.64 Incorrect: Your answer is incorrect. h W = 13.76 Incorrect: Your answer is incorrect. h Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $ 17.49 Incorrect: Your answer is incorrect. (c) The company is considering purchasing a computer-based equipment repair system that would enable a constant repair time of 3.1 hours. For practical purposes, the standard deviation is 0. Because of the computer-based system, the company's cost of the new operation would be $31 per hour. What effect will the new system have on the waiting line characteristics of the repair service? (Round your answers to four decimal places. Report time in hours.) Wq = h W = h Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $ 17.48 Incorrect: Your answer is incorrect. (d) Does paying for the computer-based system to reduce the variation in service time make economic sense? The firm's director of operations rejected the request for the new system because the hourly cost is $5 higher and the mean repair time is the same. Do you agree? How much (in dollars) will the new system save the company during a 40-hour work week? (Round your answer to the nearest cent. Enter 0 if there are no savings.) The average savings over a 40-hour work week amount to $ . Based on this, the director's argument should be ---Select--- .

uses $36 per hour cost for customers waiting during the repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.) == (b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) LqLwqw=0.1096==h Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC=$ wqW==hh Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC=$ The average savings over a 40 -hour work week amount to \$ . Based on this, the director's argument should be

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