Given the following data for a particular inventory item:

Demand: $500$ units per month

Ordering Cost: $$30$ per order

Holding Cost: $$1$ per unit per year

Lead Time: $1\mathrm{.}5$ months

Price: $$7\mathrm{.}99$ per unit

$360$ working days in a year

For the economic order quantity, what is the maximum inventory level?

Multiple Choice

$800$ units

$100$ units

$174$ units

$500$ units

$600$ units