The Acme Medical Center uses $53,800$ pairs of rubber gloves per year, the price of each pair of gloves is $$0\mathrm{.}25,$ gloves are sold only in packages of $100$ pairs per package, the carrying cost per package is $10\%,$ and the fixed cost of placing an order with the glove supplier is $$10.$

Each time Acme places an order, what size order should they place in order to minimize the total cost of inventory?

$6560$ packages

$656$ packages

$66$ packages

$7$ packages