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 $56 each to make, and they sell for $99 each. Unsold cakes are sold at $28 on Monday, and typically all the remaining cakes are sold at that price on Monday. Demand is normally distributed with the mean of 149 and standard deviation of 29.8. Determine the followings:

A. Cost of Shortage (Cs): ______

B. Cost of Excess (Ce): _______

C. What is the optimal service level? _______

D. What is the corresponding z value? ______

E. What is the optimal number of birthday cakes to make for the weekend? _______