City Guilds Model Questions Vol1 2017 Engineering Question 2

Practice objective / multiple choice question 2 from the 2017 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2017 Engineering Objective / Multiple Choice Hard Difficulty
Question 2 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2017 • ENGINEERING • objective

Component 2 of a machine fails according to an exponential distribution with failure rate \(\lambda = 0.0005\) h⁻¹. A preventive maintenance can be performed on this component at a fixed interval \(T\) (hours). The cost of each preventive maintenance is \$150, while a corrective repair after a failure costs \$1 200. No preventive maintenance is performed on component 1, whose failures are irrelevant for this calculation. Determine the preventive‑maintenance interval \(T\) (in hours) that minimises the long‑run average cost per hour, and compute that minimum average cost (in dollars per hour).

Answer Options

Correct Answer A. T \approx 1386\,h; minimum average cost \approx $0.68 per hour
B. T \approx 1200\,h; minimum average cost \approx $0.75 per hour
C. T \approx 1500\,h; minimum average cost \approx $0.60 per hour
D. T \approx 1000\,h; minimum average cost \approx $0.80 per hour
Correct Answer
A
Correct Option:
T \approx 1386\,h; minimum average cost \approx $0.68 per hour

About This Question

This is City Guilds Model Questions Vol1 2017 Engineering Question 2. It is one of the objective questions from the 2017 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Hard .

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