Boehm Compressors uses a lean production assembly line to make its compressors. In one assembly area, the demand is 100 parts per eight-hour day. It uses a container that holds eight parts. It typically takes about six hours to round-trip a container from one work center to the next and back again. They also desire to hold 15 percent safety stock of this part in the system. 

a) How many containers should Boehm Compressors be using?

b) Calculate the maximum system inventory for this part.

c) If they reduced the number of containers by one, how would this impact the required round-triptime, all else constant?