A company is producing a part that requires processing on three different machines. The machining sequence requires that the part move from machine 1to machine 2 and then to machine 3. The annual demand is estimated at 600,000 units of that part. The company works 250 days per year and 8 hours per day. The reliability of each machine is taken at 90%. The batch size is equal to the daily production volume. The relevant data is shown below:

	Machine
	1	2	3
Processing cycle time (seconds/part)	8	12	10
Loading + unloading time (seconds/part)	3	4	3
Average Setup time (in minutes)/batch	20	20	30
Defects (%)	5	6	4
Efficiency ( %)	90	88	95
Average down time (in minutes)/day	15	10	15

Please answer the following questions (Show your calculations)

1. Determine the number of units that must be produced each day by each machine if all defective units are scrapped.
2. Determine the number of machine 2 needed
3. Determine the minimum number of operators needed for machine 3
4. Determine the average utilization for machine 1
5. Determine the average operator idle time for machine 3