A company uses the Q system. Given that on hand inventory at the end of day $1$ is $300,$ reorder point is $250,$ ordering quantity is $200,$ the lead time is $5$ days and the following daily demand data, what is the inventory position $($IP$)$ after day $6.$

Day Demand

$175$

$255$

$395$

$4150$

$5145$

$6120$