Furnco sells secretarial chairs. Annual demand is normally distributed, with mean of 1,040 chairs and standard deviation of 50.99 chairs. Furnco orders its chairs from its flagship store. It costs $100 to place an order, and the lead time is two weeks. Furnco estimates that each stock out causes a loss of $50 in future goodwill. Furnco pays $60 for each chair and sells it for $100. The annual cost of holding a chair in inventory is 30% of its purchase cost.
a Assuming that all demand is backlogged, what are the reorder point and the safety stock level?
b Assuming that all stockouts result in lost sales, determine the optimal reorder point and the safety stock level.