A distributor sells electric can openers. Demand is 6000 units per year and is approximately constant through the year. These can openers cost $20each, and the annual inventory carrying cost rate is 30 percent. It costs $150 to place an order. All shortages are backordered at a onetime cost of $50 per unit. Historically, demand during a lead time is uniformly distributed between 100 and 200 items. (a) What is the service level k1 and what is the expected frequency of stockouts over time? (b) What is the fraction of total demand satisfied at the point in time at which the demand occurs? (c) What is the average time out of stock during a cycle