A company makes hair dryers. It buys some components but makes the heating element which it can produce at the rate of $903$ per day.

Dryers are assembled every day, $200$ days per year, at the rate of $347$ per day.

Because of the disparity between the production and usage rates, the heating elements are periodically produced in batches of $1,714$ units.

Assuming the setup cost per element is $$3\mathrm{.}6,$ the holding cost per element is $$1\mathrm{.}1,$ and batch sizes are as given, what is the total cost to produce these elements? $($Round to the nearest dollar$)$