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 25 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). Radovilsky Manufacturing Company, in Hayward, California, makes flashing lights for toys. The company operates its production facility 300 days per year. It has orders for about 12,100 flashing lights per year and has the capability of producing 95 per day. Setting up the light production costs $48. The cost of each light is $0.95. The holding cost is \$0.10 per light per year. a) What is the optimal size of the production run? units (round your response to the nearest whole number). b) What is the average holding cost per year? $ (round your response to two decimal places). c) What is the average setup cost per year? \$ (round your response to two decimal places). d) What is the total cost per year, including the cost of the lights? \$ (round your response to two decimal places)