City Guilds Model Questions Vol1 2017 Engineering Question 9
Practice objective / multiple choice question 9 from the 2017 City Guilds Model Questions Vol1 Engineering examination.
A machine experiences failures that occur uniformly over a life span of up to \(4000\) hours; the probability of failure before time \(T\) (where \(0\le T\le4000\)) is \(p = T/4000\). The cost of a failure (downtime and repair) is \(\$5000\). A preventive maintenance (PM) action costs \(\$800\) and, when performed, restores the machine to a like‑new condition. Assuming that if a failure occurs the machine is replaced immediately, and that the expected time to failure (when it occurs) is \(T/2\), determine the PM interval \(T\) (in hours) that minimises the average cost per hour. Give the optimal \(T\) to the nearest whole hour.
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About This Question
This is City Guilds Model Questions Vol1 2017 Engineering Question 9. It is one of the objective questions from the 2017 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
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