There are 3 resources in a process. The first resource utilizes 5 workers and has a process time a 3500 seconds per flow unit. The second resource has a set-up time of 5 minutes, a batch size of 250 flow unit and 450 seconds per flow unit processing time. The third resource has 4 workers and a processing time of 7200 seconds per flow unit. There is sufficient demand to sell all items produced and the process is capacity-constrained. What is the ideal batch size to minimize inventory while allowing the process to produce at maximum flow rate?