City Guilds Model Questions Vol1 2018 Engineering Question 37
Practice objective / multiple choice question 37 from the 2018 City Guilds Model Questions Vol1 Engineering examination.
A machine incurs a corrective‑failure cost of \(\$5000\) and a downtime cost of \(\$200\) per hour when it breaks down. A preventive maintenance action costs \(\$300\) and restores the machine to "as‑new" condition. The machine's constant failure rate is \(\lambda = 0.0002\) per hour. Assuming that failures occur uniformly within a maintenance interval \(T\) (in hours), the expected cost per hour is given by \(C(T)=\frac{300}{T}+\lambda\bigl(5000+200\frac{T}{2}\bigr)\). Determine the maintenance interval \(T\) (in hours) that minimises the expected cost per hour. Give your answer to one decimal place.
Answer Options
About This Question
This is City Guilds Model Questions Vol1 2018 Engineering Question 37. It is one of the objective questions from the 2018 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
Master the Exam!
You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.