(Iterаtive (Q, R) System Prоblem) Fаtih оwns а bоutique coffee shop called Bean & Brew, specializing in handcrafted artisan coffee blends sourced from a small cooperative in Costa Rica. Each 1-pound bag of coffee beans costs Fatih $10 to purchase. Because of the limited seasonal harvest and processing time, it takes a full year to receive new shipments. Fatih applies an annual holding cost rate of 15% to account for storage and spoilage risks. If a customer request cannot be fulfilled due to stockouts, Fatih estimates a goodwill loss of $20 per missed sale. Every time he places an order, he incurs a $25 import and processing fee. Based on past sales records, Fatih expects to sell approximately 300 bags per year, with a standard deviation of 50 bags. Assume that the demand for the coffee beans follows a normal distribution. NOTE: The question statement above is the same for all 4 questions in this exam. Question: Assume that the expected number of shortages occurring in a cycle is equal to 5. Also, assume that the optimal order size is 100. Calculate the average annual penalty cost.