A manufacturing assembly line has a demand for a specific part of 1200 parts per eight-hour day. It wants to design a lean system using containers. It takes about four hours to round-trip a container from one work center to the next and back again. They also want to hold 10 percent safety stock of this part in their system. 

a) Design a container system and state each container’s size and how many are needed.

b) Calculate the maximum system inventory for this part.