Mayzie's Masks, LLC has an annual demand for $1,000,000$ masks and its operations are scheduled to run $50$ iveeks each year. The inventory holding cost is $5\%$ of the product cost, which is $$5.$ The cost to place a single order is $$50.$ The lead time is $2$ weeks. Additionally, there are $5,000$ units in stock with scheduled receipts of $1000$ units and $5900$ back$-$ordered units. Assume constant demand and lead time. Determine IP$,$ or the Inventory Pos$$tion$.($Round to the nearest whole number.$)$

$100$

$9900$

None of these answers

$11900$

$-1900$