Knott's Industries manufactures standard and super premium backyard swing sets. Currently it has four identical swing-set-making machines, which are operated 250250 days per year and 8 hours each day. A capacity cushion of 1515 percent is desired. The following information is also known:

Standard Model Super Premium Model

Annual Demand: 20,000 10,000

Standard Processing Time: 5 min 17 min

Average Lot Size: 60 25

Standard Setup Time per Lot: 30 min 45 min

a. Does Knott's have sufficient capacity to meet annual demand?

b. How many machines are needed?