Final answer:
Cutup Retailers' year-end inventory is calculated by adding the beginning inventory ($13,000) and purchases ($60,000) then subtracting the cost of goods sold ($47,000), which results in a year-end inventory of $26,000.
Step-by-step explanation:
To determine Cutup Retailers' year-end inventory using the periodic inventory system, we start with the beginning inventory and add the purchases made throughout the year. We then subtract the cost of goods sold (COGS) to arrive at the year-end inventory value. The formula is as follows:
Year-End Inventory = Beginning Inventory + Purchases - Cost of Goods Sold
Using the figures provided:
Year-End Inventory = $13,000 (beginning inventory) + $60,000 (purchases) - $47,000 (cost of goods sold)
Year-End Inventory = $13,000 + $60,000 - $47,000
Year-End Inventory = $73,000 - $47,000
Year-End Inventory = $26,000
Therefore, Cutup Retailers' year-end inventory is $26,000.