Final answer:
To compute the ending inventory at cost using the dollar-value LIFO retail method, we calculated the cost-to-retail ratio and adjusted the ending inventory for inflation, resulting in an estimated cost of $53,134.
Step-by-step explanation:
To compute ending inventory at cost using the dollar-value LIFO retail method, we first need to calculate the cost-to-retail ratio and then adjust inventory values to account for inflation.
First, add net purchases at cost to beginning inventory at cost to determine goods available for sale at cost:
$12,060 + $128,030 = $140,090
Then, calculate the ending inventory at retail before inflation adjustment:
Beginning inventory at retail + Net purchases at retail + Net markups - Net markdowns - Sales = Ending inventory at retail before inflation adjustment
$20,100 + $198,000 + $12,100 - $7,200 - $151,300 = $71,700
Now, adjust for inflation using the price index ($71,700 x 118/100 = $84,606).
To find the ending inventory at cost using the LIFO retail method, calculate the cost-to-retail ratio, which is goods available at cost divided by goods available at retail, adjusted for markups and markdowns:
Goods available at cost / (Beginning inventory at retail + Net purchases at retail + Net markups - Net markdowns) = Cost-to-retail ratio
$140,090 / ($20,100 + $198,000 + $12,100 - $7,200) = $140,090 / $223,000 = 0.6281 (62.8%)
Finally, apply the cost-to-retail ratio to the adjusted ending inventory at retail to estimate the ending inventory at cost:
$84,606 x 62.8% = $53,134
The estimated ending inventory at cost using the dollar-value LIFO retail method is $53,134 (rounded to 0 decimal places).