Peter's Paper Clips uses a three-stage production process: cutting wire to prescribed lengths, inner bending, and outer bending. The cutting process can produce at a rate of 2490 pieces per minute; inner bending, 160 per minute; and outer bending, 280 per minute. Determine the hourly capacity of each process stage and the number of machines needed to meet an output rate of 50,000 units per hour. How does facility layout impact your numerical analysis and process efficiency? Explain.