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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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 2.9 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 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.)
La
L =
Wa
=
=
W =
Wq
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 2.9 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.)
h
h
h
h
=
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 $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 $
Based on this, the director's argument should be ---Select--- ✓
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help me with sub parts b, c and d. I uploaded but answers were wrong please help me since I cannot get my question back

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 2.9 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 the repair process.
(a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.)
λ = 0.25
μ = 0.3448
(b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.)
La 2.6902
L = 3.5241
X
X
Xh
q
W = 14.0965 Xh
W
=
= 10.7632
Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.)
TC = $154.8676 X
W
(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 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.)
=
q
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 $
Based on this, the director's argument should be ---Select--- ✓
Solution
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