Same basic story, except now you'll compute the Economic Order Quantity $($EOQ$)$ instead of taking as given an order size of $10,000$ dogs.

"All My Dogs" is a hotdog stand on campus. They are open every day of the year except New Years Day. Demand for hotdogs is a known and constant $200$ per day. All My Dogs uses a continuous inventory system, and ordersare timed so that the new hot dogs arrive just as inventory runs out $($i$.$e$.$ inventory level $=0),$ and replenishment is instantaneous.

Suppose that the supplier charges a cost$-$per$-$order of $$100$ and that the cost to carry a dog in inventory is $$0\mathrm{.}25.$

What is the Economically Optimal Quantity to order $($i$.$e$.$ the EOQ$)?$

Group of answer choices

$13407\mathrm{.}1$

$9265\mathrm{.}7$

$8435\mathrm{.}8$

$7631\mathrm{.}5$

$12977\mathrm{.}3$