cases of production are conveyed to automatic palletizing for palletizing,depending on the particular product and carton dimensions,the palletizer has to be programmed by an operator.typicallly 25 pallet loads are completed before responding is needed the reprogramming requires 4 minutes .The palletetizer operates automatically fro 40 minutes.The palletizer operates also must restoke the machine with empty pallets;this can be done at any time during the last 10 minutes of the palletizer's automatic runtime;restocking pallets requires 5 minutes travel time between palletizers, plus data entry in the computer system by the operator requires 3 minutes what is the maximum number of palletizers one operator can tend with out creating idle time for the palletizer?