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 $$8$ price. The

cost of baking a cake is $$5,$ and demand is estimated to be

normally distributed, with a mean of $30$ and a standard deviation of $3.$

What is the optimal stocking level? Refer to the standard normal table

for $z-$values.

The optimal stocking level for the bakery is

cakes $($round your

response to the nearest whole number$).$