A hardware store buys outdoor lights for $$8\mathrm{.}00$ per dozen less $19\%,15\%.$ The store's overhead is $28\%$ of cost and the required profit is $27\%$ of cost$.$ For how much per dozen should the lights be sold?

The selling price should bes per dozen.

$($Round the final answer tothe nearest cent as needed. Round all intermediate $v_{\text{:}}x$ decimal places as needed.$)$