C&A Pottery makes several lines of ceramic vases using a process that involves forming, drying, firing, and glazing. The 5 workers each take on average 60 minutes to form a vase. The vases will then be loaded into an oven to dry. The oven can hold up to 200 pieces and it takes 5 minutes to load each vase. Once all the vases are loaded into the oven, it takes 25 hours to dry each load. The dried vases are then placed in a kiln that holds up to 200 pieces. It takes 6 minutes to load each vase and the vases will be fired in the kiln for 72 hours. After firing, 4 workers each takes an average of 2 hours to glaze each vase. C&A sells each vase that is made. What is the ideal batch size to minimize inventory while allowing the process to produce at maximum flow rate?