Larkspur, Inc. had $125$ units in beginning inventory at a total cost of $$12,500.$ The company purchased $250$ units at a total cost of

$$40,000.$ At the end of the year, Larkspur had $80$ units in ending inventory.

$($a$)$

Compute the cost of the ending inventory and the cost of goods sold under FIFO, LIFO, and average$-$cost$.$