A business bought inventory for $$15,000$ and sold it for $$20,000$ on account with $2/10$ n$/30$ payment terms. How much would the gross profit be on the entire shipment if the business took advantage of the early cash payment terms of $3/15,$ n$/30$ from its supplier and the customer also takes advantage of the $2\%$ discount offered?

Select one:

$$ a$.$ $$5,450$

b$.$ $$4,600$

c$.$ $$5,000$

d$.$ $$5,050$