FAD Company uses a periodic inventory system and its inventory records for the period contain the following information:

Beginning inventory $(75$ units a $$50/$unit$)$ Purchases $(150$ units & $$50/$unit$)$

Ending inventory $(125$ units & $$50/$unit$)$

What is the amount of cost of goods sold that would be recorded as part of the end$-$of$-$period adjustment?

$$6,250$

$$11,250$

$$5,000$

$$7,500$