Q$1(40$ points$)$: An allergy products superstore sells $500$ of their most popular model of air filters each month. The cost of ordering and receiving shipments is $\backslash (\backslash$$ $20\backslash )$ per order. Accounting estimates that annual inventory holding cost per unit is $\backslash (\backslash$$ $6\backslash ).$ Assume there are $20$ days per year $(20$ days per month$).$ The supplier lead time is $2$ days. a$.$ What quantity should the store order with each order? Please provide an integer number. $(10$ points$)$