Final answer:
The ending inventory value at cost for Boxer Inc., calculated using the conventional retail method and the provided data, is $490,218.68.
Step-by-step explanation:
To calculate the ending inventory value at cost using the conventional retail method, you need to calculate the cost-to-retail ratio first, and then apply that ratio to the ending inventory at retail prices to find the ending inventory at cost.
Step 1: Calculate Cost-to-Retail Ratio
First, add the freight-in to the purchases at cost to find the total cost of goods available for sale:
Beginning inventory at cost + Purchases at cost + Freight-in = $196,500 + $1,704,000 + $79,500 = $1,980,000 (total cost).
Now calculate the total retail value taking into account net markups:
Beginning inventory at retail + Purchases at retail + Net markups = $297,000 + $2,596,800 + $207,000 = $3,100,800 (total retail).
Next, calculate the cost-to-retail ratio:
Cost-to-Retail Ratio = Total cost / Total retail = $1,980,000 / $3,100,800 = 0.6386 (or 63.86%).
Step 2: Calculate Ending Inventory at Cost
To get the ending inventory at retail, subtract sales from the total retail:
Ending inventory at retail = Total retail - Sales = $3,100,800 - $2,333,000 = $767,800.
Lastly, apply the cost-to-retail ratio to get the ending inventory at cost:
Ending inventory at cost = Ending inventory at retail x Cost-to-Retail Ratio = $767,800 x 0.6386 = $490,218.68.