Perpetual Inventory Using LIFO

Beginning inventory, purchases, and sales for Item $88-$HX are as follows:

Mar. $1$ Inventory $82$ units @ $$27$

$8$ Sale $66$ units

$15$ Purchase $91$ units @ $$29$

$27$ Sale $76$ units

Assuming a perpetual inventory system and using the last$-$in$,$ first$-$out $($LIFO$)$ method, determine $($a$)$ the cost of goods sold on Mar. $27$ and $($b$)$ the inventory on Mar. $31.$

a$.$ Cost of goods sold on Mar. $27$

b$.$ Inventory on Mar. $31$