Annual demand for a product is $15,000$ units. The company buys this product at a cost of $$5$ each and estimates that it costs $$1$ per unit per year to hold it in inventory. The company places orders for $1,000$ units at a time and it costs $$250$ to place each order. What is the total annual cost of managing this product in inventory? $($Slide $21)$

Group of answer choices

$$62,150$

$$55,750$

$$79,250$

$$53,250$

$$64,650$

$$71,450$

$$48,950$