A firm experiences demand with a mean of 100 units per day. Lead time demand is normally distributed with mean 1000 units and standard deviation 200 units. It costs $6 to hold 1 unit for 1 year. If...

A firm experiences demand with a mean of 100 units per day. Lead time demand is normally distributed with mean 1000 units and standard deviation 200 units. It costs $6 to hold 1 unit for 1 year. If the firm wants to meet 90% of all demand on time, what is the expected annual cost of holding safety stock? Assume that each order costs $50.