please show work, not in excel

e 195 8. 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 fol- lowing table: Item Kites Wind Socks Demand forecast 30,000 units/year 12,000 units/year Lot size 20 units 70 units 0.3 hour/unit 1.0 hour/unit Standard processing time Standard setup time 3.0 hours/lot 4.0 hours/lot The shop works two shifts per day, 3 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