Lucia Company reported cost of goods sold for Year $1$ and Year $2$ as follows:

Year $1$ Year $2$

Beginning inventory $ $129,500$ $ $131,900$

Cost of goods purchased $251,900284,500$

Cost of goods available for sale $381,400416,400$

Ending inventory $131,900136,900$

Cost of goods sold $ $249,500$ $ $279,500$

Lucia Company made two errors: $1)$ ending inventory at the end of Year $1$ was understated by $$16,900$ and $2)$ ending inventory at the end of Year $2$ was overstated by $$7,900.$ Given this information, the correct cost of goods sold figure for Year $2$ would be:

Multiple Choice

$$287,400$

$$296,400$

$$304,300$

$$271,600$

$$258,500$