1 - 3) The computation of the cost of goods sold, ending inventory, sales revenue, and gross profits under each inventory costing method for Rosenberg Incorporated is as follows:
FIFO LIFO Weighted Average
Cost of goods sold $2,111 $2,004 $2,053
($2,699 - $588) ($2,699 - $695) (89 x $23.0684)
Ending inventory $588 $695 $646
($21 x 28) ($575 + $24 x 5) (28 x $23.0684)
Sales Revenue $2,937 ($33 x 89) $2,937 $2,937
Gross profits $826 $933 $884
4) The determination of the method that results in higher profitability when inventory costs are declining is as follows:
When inventory costs are declining, the LIFO method results in higher profitability with a gross profit of $933, which is higher than the weighted average method's $884 and the FIFO method's $826.
The higher profitability results from the lower cost of goods sold with declining inventory costs used to assign costs to the cost of goods sold.
Data and Calculations:
Date Transactions Number of Units Unit Cost Total Cost
Jan. 1 Beginning inventory 23 $25 $575
Mar. 4 Purchase 28 $24 672
Jun. 9 Purchase 33 $23 759
Nov. 11 Purchase 33 $21 693
Total 117 $2,699
Sales -89
Ending inventory 28 (117 - 89)
Average cost per unit = $23.0684 ($2,699/117)
Cost of goods available for sale = $2,699
Cost of goods sold = Cost of goods available for sale - Ending Inventory
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