Henrique 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. What is the optimal stocking level?

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