$(1$ point$)$ 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

$134$

$1500$

$223$

$38$

Question $2$

$1$ pts

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

$30$

$9$

$5$

$67$