$10,000$ boxes will be sold this year at a constant rate throughout the year. There are $250$ working days per year and the lead$-$time is $3$ days. The cost of placing an order is $$30,$ while the holding cost is $$15$ per box per year. If Andre orders $500$ boxes each time he orders from his supplier, what would his total annual inventory cost be $($holding cost plus ordering cost$)?$

$$3,000$

$$4,350$

$$3,075$

$$3,750$