Flextora Inc sells a product called SKU561. This is a seasonal product and only sold in the spring. Seasonal demand is normally distributed with mean 10,000 and standard deviation 1,000. The selling price is $80 per unit and the purchase cost is $20/unit. All unsold units are destroyed at no cost.
(a) What is the optimal order quantity?
(b) What is the expected fill rate based on your answer in part a?