Alexandra's Boutique has the following transactions related to its top$-$selling Gucci purse for the month of October.

Date Transactions Units Unit Cost Total Cost

October $1$ Beginning inventory $6$ $ $750$ $ $4,500$

October $4$ Sale $4$

October $10$ Purchase $57603,800$

October $13$ Sale $3$

October $20$ Purchase $47703,080$

October $28$ Sale $7$

October $30$ Purchase $67804,680$

$ $16,060$

$3.$ Using LIFO, calculate ending inventory and cost of goods sold at October $31.$