Question: A 23-station transfer line has been logged for 5 days (total time = 2400 min). During this time, there were a total of 158 downtime occurrences on the line. The accompanying table identifies the type of downtime occurrence, how many occurrences of each type, and how much total time was lost for each type. The transfer line performs a sequence of machining operations the longest of which takes 0.42 min. The transfer mechanism takes 0.08 min. to index the parts from one station to the next each cycle. Assuming no parts removal when the line jams determine the following based on the 5-day observation period:

(a) how many parts were produced.

(b) downtime proportion,

(c) production rate, and

(d) frequency rate p associated with the transfer mechanism failures.