The manager of the Quick Stop Corner Convenience Store sells $10$ cases of Stein beer each day. Ordering costs are $$50\mathrm{.}00$ per order. Orders arrive three days from the time they are placed. Annual holding cost is $$4\mathrm{.}00$ per case. Assume this store operates $250$ days per year.

$11.$ At what point should he reorder Stein beer?

A$.0$ cases remaining

B$.40$ cases remaining

C$.120$ cases remaining

D$.30$ cases remaining

E$.60$ cases remaining

$12.$ If he were to order $100$ cases of Stein beer at a time, how many orders per year would there be $($do not round$)?$

A$.0\mathrm{.}25$

B$.38$