The FIFO would result in a higher gross profit. The reason is that the cost of purchasing the inventory is increasing with the passage of time.
LIFO means last in first out. It means that it is the last purchased inventory that is the first to be sold. FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold.
Cost of goods sold using LIFO = 5 X $10 = $50
Profit = (20 x 5) - 50 = $50
Cost of goods sold using FIFO = (2 X $8) + (3 X $10) = $46
Profit = (20 x 5) - $46 = $54
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