Sloppy's Hamburgers decides to make the move from aber only ber to a if senite bar and creates a modern drink menu with the help of Bar Rescues Jon Taffer Ore concoction, the Okra Colada, is the runaway hit of the new menu. As the name implies, the Okra Colada is an okra$-$forward beverage, requiring the medium set pieces of okra for each serving, Sloppy orders his okra from a supie in Laitina and there is a $8-$day lead time for each order. Since the drink is popular, Story orders so that there is a slim $1\%$ chance of a stockout. There is a daly demand for okra of $1,475$ with a standard deviation of $150.$What is the total system inventory of okra?