Tiger Treasures, Inc. is an online retailer selling AU souvenirs. Its best$-$selling SKU is a blinking button that flashes the phrase $"$AU #$1"$ in orange and blue lights. The company buys the product from a supplier in Memphis who uses FedEx for guaranteed delivery within $24$ hours of being ordered. It costs $$25$ to place an order, and the button is held in inventory at a cost of $$10$ each. Annual demand is $190,384$ buttons$/$year$,$ and the company operates $24/7/365.$ The lead time is constant at $1$ day, but the demand is variable with a standard deviation of $268\mathrm{.}9.$ The company's service level target is $97\mathrm{.}5\%,$ and inventory holding costs are estimated to be $15\%$ per year.

What is the Economic Order Quantity?