In its first month of operations, Ivanhoe Company made three purchases of merchandise in the following sequence: $(1)258$ units at $$6,(2)344$ units at $$8,$ and $(3)604$ units at $$9.$ Assuming there are $172$ units on hand at the end of the period, compute the cost of the ending inventory under $($a$)$ the FIFO method and $($b$)$ the LIFO method. Ivanhoe uses a periodic inventory system.

Ending Inventory

FIFO $

LIFO $