On May $1,20$x$6,$ JT Engineering had beginning inventory consisting of $200$ units with a unit cost of $$14.$ During May, the company purchased inventory as follows:

$800$ units at $$14$

$500$ units at $$16$

The company sold $500$ units during the month for $$21$ per unit. If JT uses the average cost method, what is the gross profit for May?

Select answer from the options below

$$3,165$

$$1,570$

$$2,240$

$$3,000$