Shown below is activity for one of the products of Denver Office Equipment:

January $1$ balance, $500$ units @$$55$ per unit $$27,500$

Purchases:

January $10$: $500$ units @ $$60$ per unit

January $20$: $1,000$ units @ $$63$ per unit

Sales:

January $12$: $800$ units

January $28$: $750$ units

Required:

Compute the January $31$ ending inventory and cost of goods sold for January, assuming Denver uses LIFO and a perpetual inventory

system.