City Guilds Model Questions Vol1 2023 Engineering Question 41
Practice objective / multiple choice question 41 from the 2023 City Guilds Model Questions Vol1 Engineering examination.
A machine experiences a failure rate that increases linearly with the time since its last preventive maintenance: \(\lambda(t)=0.01+0.002t\) failures per hour, where \(t\) is in hours. A preventive maintenance action costs \(\$200\) and requires 2 hours of downtime. An unexpected failure costs \(\$1500\) and results in 8 hours of downtime. After either event the machine is restored to "as‑new" condition and the cycle restarts. Determine the preventive‑maintenance interval \(T\) (in hours) that minimises the long‑run average cost per hour. Give your answer to the nearest whole hour.
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About This Question
This is City Guilds Model Questions Vol1 2023 Engineering Question 41. It is one of the objective questions from the 2023 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
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