please answer e and f

Problem 3. (Chapter 9: Inventory Policy Decisions) Suppose that an auto part in a manufacturer's inventory has the following characteristics: Forecast of demand = 1000 cases per week Forecast error, std. dev. =250 cases per week Lead time = 4 weeks Carrying cost =30% per year Purchase price, delivered = $60 per case Replenishment order cost-$45 per order Stockout cost =$14 per case Probability of being in stock during the lead time -80% The manufacturer uses ROP method to control the inventory of this item. The manufacturer operates 52 weeks a year. What is the economic order quantity? b. What is the reorder point? e. What's the expected number of units out of stock annually? d. What is the annual service level? c. What's the total annual cost including annual fixed ordering cost, inventory holding cost, and stockout cost? f. If the lead time is normally distributed with a standard deviation of I week, what's the ROP