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 2.8 hours and a standard deviation of 1.9 hours. The company's cost of the repair operation is $27 per hour. In the economic analysis of the waiting line system, Robotics uses $38 per hour cost for customers waiting during the repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.) λ = με (b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) La = L = W = W- h h Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC=$ (c) The company is considering purchasing a computer-based equipment repair system that would enable a constant repair time of 2.8 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.) Wa 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 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 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--
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 2.8 hours and a standard deviation of 1.9 hours. The company's cost of the repair operation is $27 per hour. In the economic analysis of the waiting line system, Robotics uses $38 per hour cost for customers waiting during the repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.) λ = με (b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) La = L = W = W- h h Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC=$ (c) The company is considering purchasing a computer-based equipment repair system that would enable a constant repair time of 2.8 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.) Wa 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 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 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--
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 2.8 hours and a standard deviation of 1.9 hours. The company's cost of the repair operation is $27 per hour. In the economic analysis of the
waiting line system, Robotics uses $38 per hour cost for customers waiting during the repair process.
(a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.)
λ =
με
(b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.)
La
=
L =
W
=
W-
h
h
Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.)
TC=$
(c) The company is considering purchasing a computer-based equipment repair system that would enable a constant repair time of 2.8 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.)
Wa
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 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 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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