Prado $,$ a luxury fashion retailer $,$ is gearing up to launch a limited $-$ edition designer handbag $.$ The company's goal is to maximize profits while also ensuring a high level of customer satisfaction $,$ which is defined as being able to fulfill at least $90\%$ of customer orders $.$ As an operations analyst at Prado $,$ your task is to use the Newsvendor model to recommend the optimal inventory level for these handbags in the upcoming season $.$ This decision should take into account both profitability and the desired service level $.$ You have the following information : Demand Characteristics : The demand is normally distributed $,$ with a mean $()$ of $10,000$ units and a standard deviation $()$ of $200$ units $.$ Financial Details : The cost per hand bag is $ $700,$ seling price is per handbag is $ $1,000,$ and the clearance price for unsold handbags at the end of the season is $ $200.$