JUST NEED HELP WITH WHAT IS WRONG

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 3.1 hours and a standard deviation of 2.2 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.) 1 = 0.2500 u = 0.3226 (b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) 4. = 2.0070 L = 2.7820 W. - 8.0279 h W = 11.1279 h Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $ 133.72 X (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.) W = 5.3388 W = 8.4388 h Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $111.17 (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 $4 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 O if there are no savings.) The average savings over a 40-hour work week amount to $ 902 X Based on this, the director's argument should be contested