Jimmy$$s Egg is a specialty restaurant featuring $47$ different kinds of omelettes. They use $60$ dozen eggs a day that they order from an egg factory with a lead time of five days. One morning, while stocking their refrigerator, they noticed that there were only $25$ dozen eggs remaining. The restaurant already had a backorder of $15$ dozen eggs and an open order of $200$ dozen eggs. What should the restaurant$$s order size be based on the demand for eggs and lead time. Assume that reorders should be sufficient to cover demand for the entire order lead$-$time.

Group of answer choices

$300$

$200$

$180$

$210$

all of these.