A company that makes office furniture can produce $12$ desks an hour. The cost of a finished desk is $$75\mathrm{.}00$ and it sells for $$150\mathrm{.}00.$ The production operations ran a $10$ ten hour shift for $6$ days during the week. During the week $550$ desks were shipped. Assuming zero beginning inventory, answer the following questions:

How many desks were in finished goods inventory?

$360$

$170$

$470$

$720$