Do not include anything other than numbers in your responses. For example, do not include comma or dollar sign in your numbers. As a rule of thumb, keep 2 decimal places for larger numbers and 3 decimal places for smaller numbers less than 1.

A supermarket bakery must decide how many birthday cakes to prepare for the upcoming weekend. Cakes cost $34 each to make, and they sell for $65 each. Unsold cakes are sold at $17 on Monday, and typically all the remaining cakes are sold at that price on Monday. Demand is normally distributed with the mean of 176 and standard deviation of 35.2. Determine the followings:
Cost of Shortage (Cs):
Cost of Excess (Ce):
What is the optimal service level?
What is the corresponding z value?
What is the optimal number of birthday cakes to make for the weekend?