Answer all questions with explanation

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 a single-server system operated by a repair technician. The service time varies, with a mean repair time of 3.0 hours and a standard deviation of 2.0 hours. The company's cost of the repair operation is $27 per hour. In the economic analysis of the waiting line system, Robotics uses $38 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.) A = .25 .3333 (b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) Lo = 1.6257 L= 2.3758 W = 6.5028 h W = 9.5031 X Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $ 117.28 (c) The company is considering purchasing a computer-based equipment repair system that would enable a constant repair time of 3.0 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 $30 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.) 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 = $ (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 $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 your answer to the nearest cent. Enter 0 if there are no savings.) The average savings over a 40-hour work week amount to $ |22.89 X . Based on this, the director's argument should be contested V)