Jantel$$ Mitchell's bakery prepares all its cakes between $4$ A$.$M$.$and $6$ A$.$M$.$so they will be fresh when customers arrive.$$ Day$-$old cakes are virtually always$$ sold, but at a$50\%$ discount off the regular $$$$16$ price. The cost of baking a cake is $$$$10,$ and demand is estimated to be normally$$ distributed, with a mean of $20$ and a standard deviation of $6.$ What is the optimal stocking$$ level? Refer to the standard normal table for$$ z$-$values.

Part $2$

The optimal stocking level for the bakery is

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enter your response here cakes $($round your response to the nearest whole$$ number$).$