Center City Cake Shoppe spends $$15$ in making each cake, and has a regular selling price of $$25.$For every customer facing a stockout, the Cake Shoppe has estimated that there is a goodwill loss of $$5($over and above the lost margin on that sale$).$Unsold cakes at the end of the day are sold below cost, at $$10,$ and are always sold off before the store closes for the night."Given this data, is $90\%$ service level the appropriate service level?Remember, their daily demand distribution is: