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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 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 2.1 hours. The company's cost of the repair operation is $28 per hour. In the economic analysis of the waiting line system, Robotics uses $37 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.)
=
0.25
Correct: Your answer is correct.
=
0.3448
Correct: Your answer is correct.
(b)
Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.)
Lq =
Incorrect: Your answer is incorrect.
L =
Incorrect: Your answer is incorrect.
Wq =
Incorrect: Your answer is incorrect.
h
W =
Incorrect: Your answer is incorrect.
h
Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.)
TC = $
Incorrect: Your answer is incorrect.
(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 $33 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.)

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