City Guilds Model Questions Vol1 2024 Engineering Question 37
Practice objective / multiple choice question 37 from the 2024 City Guilds Model Questions Vol1 Engineering examination.
A pump has a mean time between failures (MTBF) of 500 h, i.e., failures follow an exponential distribution with mean 500 h. Preventive maintenance (PM) costs \(\text{₦}2000\) and is performed every \(T\) hours. If a failure occurs before the scheduled PM, corrective maintenance (CM) costs \(\text{₦}8000\). The expected cost per hour is given by \[C(T)=\frac{2000+8000\bigl(1-e^{-T/500}\bigr)}{\frac{1-e^{-T/500}}{1/500}}\]. Company policy requires that a PM be carried out at least once every 300 h (i.e., \(T\le 300\)). Determine the optimal preventive maintenance interval \(T\) (in hours) that minimizes the expected cost per hour.
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About This Question
This is City Guilds Model Questions Vol1 2024 Engineering Question 37. It is one of the objective questions from the 2024 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
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