Up. Up and Away is a producer of kites and wind socks. Relevant data on a bottleneck operation in the shop for the upcoming fiscal year are given In the following table:

The shop works two shifts per day, 8 hours per shift, 200 days per year. Currently, the company operates four machines, and desires a 25 percent capacity cushion, how many machines should be purchased to meet the upcoming year's demand without resorting to any short term capacity solutions?

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Item Kites Demand forecast Lot size Standard processing time 0.3 hour/unit Standard setup tie 30ho Wind Socks 12,000 units/year 70 units 1.0 hour/unit 30,000 units/year 20 units 40hours/ot