$($This problem description is for Questions $4-12)$

PBK is a campus coffee store that uses EOQ to manage its inventory of whole bean coffee, the demand for which is known to be a constant $1,440$ pounds$/$year$.$ PBK$\text{'}$s fixed cost associated with placing and receiving an order from its supplier is $$18/$order$.$ Its purchase cost is $$1/$pound$,$ and its estimated $($unit$)$ annual holding cost is $$3\mathrm{.}60/$pound$/$year $($per pound per year$).$

If the supplier limits an order quantity by $100$ pounds $($i$.$e$.,$ an order quantity must be less than or equal to $100$ pounds$),$ what is the practical best order quantity for PBK$?$

Question $6$ options:

$90$

$120$

$75$

$100$

$50$