Subject: Reliability and maintenance planning

It is possible that the two questions are related to each other and I want to solve question 5

Q4. An automotive manufacturer recommends servicing brake systems and replacing worn parts every 20,000 miles. The reliability of a single-wheel braking system has been found through accelerated life testing to be 0.8855 at 20,000 miles. (a) If at least one front brake and one rear brake must function for a 4-wheel vehicle to safely stop, find the system reliability at 20,000 miles. (b) What is the system reliability at 20,000 miles if at least any 2 brakes must function? Q5. No. of standby units Component Cost Reliability (Rs.) Component 2 Cost Reliability (Rs.) Component 3 Cost Reliability (Rs.) 2 0.85 3. 0.92 1 1 0.70 0.85 0.93 3 4 2 3 0.85 0.95 0.98 0.97 The total capital budgeted for this purpose is Rs. 8. Determine the optimal number of standby units for each of the components of the system such that the total reliability of the system is maximized