$.$ Your manager insists on providing a $99\%$ guarantee to customers of being in stock of fresh flowers. Although you maintain a wide selection of related items, some customers are bothered if they visit and you are out of stock of fresh flowers.. A survey tells you that they are bothered by the equivalent of $$2.$ It costs you $$3$ to purchase flowers, and they sells for $$10.$ Once the flowers pass their prime, you can only turn them into dried bouquets, which sell for only $$2.$ From your sales data, you find that the demand follows the following probability distribution: Q $100150200250300350$ P$($D$=$Q$)0\mathrm{.}050\mathrm{.}20\mathrm{.}30\mathrm{.}30\mathrm{.}10\mathrm{.}05$ What is the optimal quantity of fresh flowers to order? O $200$ O $250$ O $300$ O $350$ ANS: $300$