Eggland's Earls, a popular local restaurant specializing in egg$-$based dishes, needs $2,000$ cartons of eggs each week. The company buys eggs in bulk, and the supplier charges a $$300$ delivery fee for each order. The restaurant wants to buy as many eggs at a time as possible, while also limiting total annual inventory costs. Their holding costs are about $20$ percent of their purchase price, which is $$6$ per carton. At the economic order quantity for egg cartons, what are the annual holding costs? $($Round to $2$ decimal places$)$

EOQ$=\sqrt[\phantom{2}]{2D\frac{K}{i^{**}}c}$

$4,327\mathrm{.}2$

$4,333\mathrm{.}5$

$4,456\mathrm{.}3$

$4,302\mathrm{.}9$