Conversion price index = Ending inventory at end-of year prices/Ending inventory at abase-year prices
X = Year 3 ending dollar-value LIFO inventory
Year 1, cost index of 120, Layer in base-year dollars 4,000
Year 2, cost index of 140, Layer in base-year dollars 2,000
Year 3, cost index of 150, Layer in base-year dollars??, at current cost ending inventory 24,000
Year 3, ending inventory at base year cost:
24,000 / 1.5 = 16,000
Year 3 layer:
16,000 - 4,000 - 2,000 = 10,000
X:
10,000 * 1.5 = 10,500
4,000 * 1.2 =4800
2000 * 1.4 = 2800
TOTAL = 18100