A company tries to reduce all lead-times by 50 percent. There is a discussion concerning the impact of this change. As an example, an item in stock is considered. Demand is continuous and normally distributed. Inventory control is carried out by a (Q,r) policy with continuous review. The demand per week has mean 200 and standard deviation 50. Demands during different weeks are independent. Currently, the lead-time is four weeks and r=850 and Q = 600. Two questions have been raised. a. What is the current fill rate (i.e., the fraction of demand met from inventory)? b. Assume that the lead-time is reduced to two weeks, while r and Q are unchanged. What is the fill rate?