Urban Glam Cosmetics made purchases of lipstick in the current year as follows:

Jan. $1$ Beginning inventory

Mar. $14$ Purchased

July $30$ Purchased

Units available for sale

$1,111$ units

Cost of goods available for sale

$$16,083$

Urban Glam Cosmetics made sales on the following dates at a selling price of $$36$ per unit:

Assume that Urban Glam Cosmetics uses the specific identification method to cost inventory. The $973$ units were specifically sold as follows:

Jan. $10$: $83$ units from beginning inventory

Mar. $15$: $16$ units from beginning inventory, and $294$ units from the March $14$ purchase

Oct. $5$: $63$ units from the March $14$ purchase, and

$517$ units from the July $30$ purchase

Calculate cost of goods sold and the gross profit.