Please answer the following

Question 1 Problem 727306: 5 pts 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 $57 each to make, and they sell for $94 each. Unsold cakes are sold at $28.5 on Monday, and typically all the remaining cakes are sold at that price on Monday. Demand is normally distributed with the mean of 179 and standard deviation of 35.8. 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?