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

Date Line Item Description Value

July $1$ Inventory $96$ units @ $$33$

July $8$ Sale $77$ units

July $15$ Purchase $107$ units @ $$35$

July $27$ Sale $90$ units

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

a$.$ Cost of goods sold on July $27$ fill in the blank $1$ of $2$

b$.$ Inventory on July $31$ fill in the blank $2$ of $2$