Answer:
$405,101.40
Explanation:
date ending inventory cost index
at current year cost
Jan. 1, 20x1 $360,000 100
Dec. 31, 20x1 $407,570 106
Dec. 31, 20x2 $439,450 110
Dec. 31, 20x3 $427,800 115
Inventory Jan. 1, 20x1:
$360,000 x 100/100 = $360,000
Inventory Dec. 31, 20x1:
ending inventory at base year cost = $407,570 / (106/100) = $384,500
$360,000 x 100/100 = $360,000
$24,500 x 106/100 = $28,420
total $388,420
Inventory Dec. 31, 20x2:
ending inventory at base year cost = $439,450 / (106/100) = $414,575.47
$360,000 x 100/100 = $360,000
$24,500 x 106/100 = $28,420
$26,155.47 x 110/100 = $28,771
total $417,191
Inventory Dec. 31, 20x3:
ending inventory at base year cost = $427,800 / (106/100) = $403,584.91
$360,000 x 100/100 = $360,000
$24,500 x 106/100 = $28,420
$15,164.91 x 110/100 = $16,681.40
total $405,101.40