At May $1,2020$ marigold company had beginning inventory consisting of $220$ units with a unit cost of $$5\mathrm{.}50.$ During May, the company purchased inventory as follows:

$720$ units at $$5\mathrm{.}50$

$560$ units at $$7\mathrm{.}00$

The company sold $1000$ units during the month for $$11$ per unit. Marigold uses the average$-$cost method. Marigold$$s gross profit for the month of May is $?$