Dazzle Graphics uses a special purpose paper on $80\%$ of its jobs. The paper is purchased in $100-$sheet packages at a cost of $$100$ per package. Management estimates that the cost of placing and receiving a typical order is $$15,$ and the annual cost of carrying a package in inventory is $$1\mathrm{.}50.$ Dazzle uses $2,600$ packages each year. Production is constant, and the lead time to receive an order is one week. $($Assume $52$ weeks in a year.$)$

The reorder point is:

$50$ packages.

$225$ packages.

$25$ packages.

$203$ packages.

$100$ packages.