ONLY answer 16 using the information provided in problem 13

13. An automotive warehouse stocks a variety of parts that are sold at neighborhood stores. One particular part, a popular brand of oil filter, is purchased by the warehouse for $1.50 each. It is estimated that the cost of order processing and receipt is $100 per order. The company uses an inventory carrying charge based on a 28 percent annual interest rate. The monthly demand for the filter follows a normal distribution with mean 280 and standard deviation 77. Order lead time is assumed to be five months. Assume that if a filter is demanded when the warehouse is out of stock, then the demand is back ordered, and the cost assessed for each back-ordered demand is $12.80. Deter- mine the following quantities. a. The optimal values of the order quantity and the reorder level. b. The average annual cost of holding, setup, and stock-out associated with this item assuming that an optimal policy is used. 16. Suppose that in problem 13 the stock-out cost is replaced with a Type 1 service objective of 95 percent. Find the optimal values of (Q, R) case