LEE is attempting to perform an inventory analysis on one of the most popular products. The annual demand for this product is $5,000$ units; the unit cost is $$150$; the carrying cost is considered to be approximately $20\%$ of the unit price. Ordering costs for the company typically run nearly $$50$ per order and lead time averages $10$ days. $($Assume $250$ working days during the year$)$

Formula:

Q $=$ Square root of $[(2*$ D$*$ Co$)/($Cc$)]$ TC $=$ D$/$Q $($Co$)+1/2$ Q $($Cc$)$

What is the average inventory $($choose the nearest value$)?$