City Guilds Model Questions Vol1 2019 Engineering Question 12
Practice objective / multiple choice question 12 from the 2019 City Guilds Model Questions Vol1 Engineering examination.
A critical component has a constant exponential failure rate of \(\lambda = 0.0002\ \text{h}^{-1}\). A preventive maintenance action can be performed at any chosen interval \(T\) (hours) and costs \(\text{₦}500\) each time it is carried out. If the component fails before the scheduled preventive maintenance, a corrective maintenance is required costing \(\text{₦}5000\) plus a downtime cost of \(\text{₦}200\) per hour of lost production; the downtime for a failure is assumed to be 1 hour. Determine the preventive‑maintenance interval \(T\) that minimises the expected cost per operating hour. State the optimal policy and the corresponding minimum expected cost per hour.
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About This Question
This is City Guilds Model Questions Vol1 2019 Engineering Question 12. It is one of the objective questions from the 2019 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
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