You are trying to reduce the expected failure cost per part

You are trying to reduce the expected failure cost per part, and you have three improvement options. Find the system reliability and total (improvementmplus failure) cost per part for each of the three options, and then suggest which of the three (if any) improvements you would recommend. (round all reliability calculatioms to 4 decimals) (16 points)

improvement 1: add an 80% reliable backup for component A. The backup costs $50 per part.

improvement 2: add 90% reliable backup for component B. The backup costs $50 per part.

improvement 3: add a backup for component A and add a backup for component B. Backups have same reliabilites and costs as in improvements 1 and 2

Solution

improvement 3 can be suggested for reducing the failure. this is because of the reason that the failure can happen in any components either in A or in B. so providing back up to A or B alsone cannot reduce the risk. and the cost of back up is also hihg for each. hence providing back up to bothe compenents will be deisrable