A factory that makes stamped parts has a painting operation. All parts must be painted to combat corrosion. The factory has 10 different parts, each of which have an annual demand of 500,000. Typically the factory sets up for one part per day and runs for the entire shift producing just that one part. To keep up with demand, the factory works a six-day work week and two 8-hour shifts, working 50 weeks per year. Each machine can paint 100 parts at a time and the standard cycle time is 15 minutes to paint and cure 100 parts. Approximately 5% of the parts painted must be scrapped due to paint flaws. At the beginning of the day, each paint machine requires 45 minutes to set up. After set up, it is run for the remainder of the 2 shifts (16 hours). Paint booths are notoriously unreliable (clogs, leaks, messes, machinery failures) and shutdowns are commonplace. The plant assumes 20% downtime for each machine to deal with in-process issues. Booths are 100% available for setup. Because it is a tiring job, worker efficiency is 90%. Calculate the number of paint booths required to meet annual demand.? ( ) machines