SunCar distributes parts for American cars in Belgium. Batteries are a commonly requested item. The lead time to obtain car batteries is two months and the average demand is $100$ per month. Lead time demand is normally distributed with a standard deviation of $10$ units. Order cost is $$75$ and holding cost is $$10$ per year per battery. $($Use this information to answer the following four questions$).$ The EOQ for batteries is closest to

Group of answer choices

$38$

$223$

$1500$

$134$

Flag question: Question $2$

Question $21$ pts

$(1$ point$)$ The number of orders per year is closest to

Group of answer choices

$30$

$67$

$5$

$9$

Flag question: Question $3$

Question $31$ pts

$(1$ point$)$ The safety stock necessary to maintain a $95\%$ service level is closest to

Group of answer choices

$19$

$33$

$23$

$10$

Flag question: Question $4$

Question $41$ pts

$(1$ point$)$ The reorder point including safety stock is closest to

Group of answer choices

$100$

$123$

$223$

$73$

Flag question: Question $5$

Question $51$ pts

$(1$ point$)$ The total inventory cost including safety stock is closest to

Group of answer choices

$$1570$

$ $178$

$$1340$

$ $900$