ABC has a demand (which is deterministic) for 27,000 DVD's per month. The cost of a DVD is $2.30 and the holding cost is 30 percent of the cost of the product per year. The ordering cost is $700 per order. There are 350 days per year. The lead time is 7 days.
a) What is the economic order quantity?
b) What is the reorder point and what is the inventory position immediately after the order is placed?
c) What are the annual cost of ordering and the annual holding cost?
d) Suppose that the demand has now changed. It is probabilistic and follows a normal distribution with a mean demand during lead timeof 23,000 DVD's and the standard deviation of the demand during lead time is equal to 2,000 DVD's. What are the safety stock and the reorder point if the company wants only a 5 percent chance of a stockout?