Given the following inventory data about a firm:

$$ Beginning inventory $20$ units at $$50/$unit

$$ Purchased $10$ units at $$45/$unit

$$ Purchased $35$ units at $$55/$unit

$$ Purchased $20$ units at $$65/$unit

$$ Sold $60$ units at $$80/$unit

What is the inventory value at the end of the period using first in$,$ first out $($FIFO$)?$

$$1,575.$

$$3,475.$

$$3,100.$