A company makes hair dryers. It buys some components but makes the heating element which it can produce at the rate of $872$ per day.

Dryers are assembled every day, $228$ days per year, at the rate of $322$ per day.

Because of the disparity between the production and usage rates, the heating elements are periodically produced in batches of $1,752$ units.

Assuming the setup cost per element is $$5,$ the holding cost per element is $$1\mathrm{.}2,$ and batch sizes are as given, what is the total cost to produce these elements? $($Round to the nearest dollar$)$