A company uses the weighted $-$ average method of inventory valuation under a periodic inventory system. The company began the year with a zero inventory balance. They had the following transactions during the

Purchased $61$ units at $$7$ per unit

Purchased $110$ units at $$7$ per unit

Sold $90$ units at $$12$ per unit

Purchased $50$ units at $$8$ per unit

Sold $90$ units at $$13\mathrm{.}5$ per unit

At the end of the year, the company counted the inventory and found $41$ units remaining. Calculate the cost of goods sold for the year. $($Round the unit costs to two decimal places and total costs to the nearest dolla

A$.$ $$1,301$

B$.$ $$296$

C$.$ $$7$

D$.$ $$1,597$