Glamor boutique uses the newsvendor model to manage its inventory. Demand for its product is normally distributed with a mean of $600$ and a standard deviation of $100.$ Glamor boutique purchases the product for $$30$ each unit and sells each for $$50.$ Inventory is salvaged for $$10.$ What is its expected profit if Glamor boutique$$s order quantity is $550$ units? Use table $13\mathrm{.}4$