During $2023,$ Fresh Express Company sold $2,410$ units of its product on September $20$ and $2,550$ units on December $22,$ all at a price of $$81$ per unit. Incurring operating expenses of $$11$ per unit sold, it began the year with and made successive purchases of the product as follows:

$\backslash$table$[[$January $1$ beginning inventory,$510$ units @$$26$ per unit.$],[$Purchases:$,1,410$ units @$$28$ per unit$],[$February $20,610$ units $$32$ per unit$],[$May $16,3,210$ units @$$33$ per unit$],[$December $11,5,740$ units ${?}_{(})$