Anguilla Manufacturing is interested in using the data collected during Value Stream Mapping to evaluate the current state performance of the capacity of its manual assembly line process under different batch size assumptions. The availability of processing per shift, after accounting for breaks and a mid-shift employee meeting, is 436 minutes. The current operating characteristics of each processing step are found in the table below. Note that each step can only process one part at a time and all steps must process the same sized batches. (a) Calculate the average processing time per unit and the capacity at each step assuming batch sizes of: i. 10 units; ii. 20 units; ii. 30 units; and iv. 40 units (b) Identify the bottleneck operation and the line's processing capacity for each batch size listed in part a. (c) Explain why batch sizes beyond 40 units will not increase the line's processing capacity further