A company had the following purchases and sales during its first year of operations:

January:

Purchased: $10$ units at $$120$

Sales: $6$ units

February:

Purchase: $20$ units at $$125$

Sales: $5$ units

May:

Purchased: $15$ units at $$130$

Sales: $9$ units

September:

Purchased: $12$ units at $$135$

Sales: $8$ units

November:

Purchased: $10$ units at $$140$

Sales: $13$ units

On December $31,$ there were $26$ units remaining in ending inventory. Using the periodic LIFO inventory costing method, what is the value of cost of goods sold? $($Assume all sales were made on the last day of the month.$)$

Group of answer choices

$$8,670.$

$$5,400.$

$$5,470.$

$$3,200.$

$$5,130.$