A local auto part store would like to reduce its inventory cost by determining the optimal number of batteries to order $($i$.$e$.,$ EOQ$).$ The daily demand is estimated to be six batteries; the unit purchase price is $$100$; the inventory carrying charge per unit is $25\%$; the ordering cost per order is $$25$; the annual working days are $300$ days. The lead$-$time for acquiring batteries is estimated to be $4$ days.

With this information, which of the following is the minimum total inventory cost?

Group of answer choices

$$750$

$$1,000$

$$1,500$

None of the above