On January $1,$ Stapler Company had a beginning inventory of $20$ units of inventory item Z that cost $$5$ each. During the month, the company engaged in the following transactions related to inventory item Z:

January $3$ Purchased $50$ units at $$6$ each

January $7$ Sold $40$ units for $$10$ each

January $14$ Purchased $30$ units at $$7$ each

January $19$ Sold $50$ units for $$11$ each

January $21$ Purchased $20$ units at $$8$ each

Assuming that Stapler Company uses the LIFO $($last in$,$ first out$)$ inventory costing system and maintains perpetual inventory records, what is the cost of the ending inventory on January $31?$

Question $17$ options:

$ $80$

$$160$

$$210$

$$230$