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 repair facility is asingle-server system operated by a repair technician. The service time varies, with a mean repair time of 2.9 hours and a standard deviation of 1.8 hours. The company's cost of the repairoperation is $28 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.)λ =μ =(b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.)LaL =Wa==W =WqShow the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.)TC = $(c) The company is considering purchasing a computer-based equipment repair system that would enable a constant repair time of 2.9 hours. For practical purposes, the standard deviation is0. 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 therepair service? (Round your answers to four decimal places. Report time in hours.)hhhh=W =Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.)TC = $(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 becausethe hourly cost is $3 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 youranswer 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--- ✓

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single-server system operated by a repair technician. The service time varies, with a mean repair time of 2.9 hours and a standard deviation of 1.8 hours. The company's cost of the repair operation is $28 per hour. In the economic analysis of the waiting line system, Robotics uses $36 per hour cost for customers waiting during repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.) λ = μ = (b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) La = L = W₁ = W = h h

single-server system operated by a repair technician. The service time varies, with a mean repair time of 2.9 hours and a standard deviation of 1.8 hours. The company's cost of the repair operation is $28 per hour. In the economic analysis of the waiting line system, Robotics uses $36 per hour cost for customers waiting during repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.) λ = μ = (b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) La = L = W₁ = W = h h

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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