2. Weekly Demand for HP printers at Alghanim Electronics store is normally distributed, with a mean of 250 and standard deviation of 150 . The store manager continuously monitors inventory and currently orders 1,000 printers each time the inventory drops to 600 printers. HP currently takes two weeks to fill an order. a) How much safety inventory does the store carry? What cycle service level (CSL) does Alghanim Electronics achieve as a result of this policy? b) Assume that the supply lead time from HP is normally distributed, with a mean of 2 weeks and a standard deviation of 1.5 weeks. How much safety inventory should Alghanim Electronics carry if it wants to provide a CSL of 95\%? How does the required safety inventory change as the standard deviation of lead time is reduced from 1.5 weeks to zero in intervals of 0.5 weeks