Problem:
Henrique's Correa's bakery prepares all its cakes between 4am and 6am so they will be fresh when customers arrive. Day-old cakes are virtually always sold but at a 50% discount off the regular $10 price. The cost of baking a cake is $6 and demand is estimated to be normally distributed with a mean of 25 and a standard deviation of 4.
Required:
Question: What is the optimal stocking level?
Note: Please show how to work it out.