A batch of parts is produced on a semi-automated production machine. Batch size is 50 units. Setup requires 2 hours. A worker loads and unloads the machine each cycle, which takes 50 sec. Machine processing time is 3 min/cycle, and tool changes must be performed every 25 parts and this takes 6 min. One part is produced each cycle. Determine (a) Average cycle time (b) Time to complete the batch (c) Average production rate