Final answer:
To find Johnson Corporation's ending inventory at cost using the dollar-value LIFO retail method, calculate the initial cost-to-retail ratio, adjust the ending inventory at retail for price changes, and apply the initial cost-to-retail ratio to the adjusted inventory, resulting in an ending inventory at cost of $29,615.
Step-by-step explanation:
To calculate Johnson Corporation's ending inventory at cost using the dollar-value LIFO retail method, we first determine the price index at the end of the year, which is 110, with the beginning of the year being 100. This gives us a cost index of 110/100 = 1.1. We apply this index to adjust the cost-to-retail ratio.
Next, we calculate the cost-to-retail ratio at the beginning of the year: $20,000 cost / $35,000 retail = 0.5714 (rounded to four decimal places). The ending inventory at retail before price index adjustment is the beginning inventory plus net purchases minus sales: $35,000 + $322,000 - $300,000 = $57,000.
Then, we adjust the ending inventory at retail for price changes: $57,000 / 1.1 = $51,818.18. Applying the initial cost-to-retail ratio to the adjusted ending inventory at retail gives the ending inventory at cost: $51,818.18 * 0.5714 = $29,615.38 (rounded to the nearest whole dollar).