A batch production operation has a machine setup time of 4.0 hrand a processing time of 1.50 min per cycle. Three parts areproduced each cycle. No tool handling time is included in thecycle. Part handling time each cycle is 30 sec. It consists of theworker obtaining three starting work units from a parts tray,loading them into the machine, and then after processing, unloadingthe completed units and placing them into the same tray. Each trayholds 27 work units. When all of the starting work units have beenreplaced with completed units, the tray of completed parts is movedaside and a new tray of starting parts is moved into position atthe machine. This irregular work element takes 4.0 min. Batchquantity is 2,700 units.
Determine
(a) average cycle time,
(b) time to complete the batch,
(c) average production rate.