A batch production operation has a machine setup time of 4.0 hours and a processing time of 1.50 min per cycle. Two parts are produced each cycle. No tool handling time is included in the cycle. Part handling time each cycle is 30 sec. It consists of the worker obtaining two starting work units from a parts tray, loading them into the machine, and then after processing, unloading the completed units and placing them into the same tray. Each tray holds 27 work units. When all of the starting work units have been replaced with completed units, the tray of completed parts is moved aside and a new tray of starting parts is moved into position at the machine. This irregular work element takes 4.0 min. Batch quantity is 2700 units. Determine (a) average cycle time, (b) time to complete the batch, and (c) average production rate.