Inventory liquidation

hello, guys

There is one practice about the inventory liquidation:

Note 5. Inventories

Inventories are reported on a last-in, first-out (LIFO) basis. The LIFO reserve was $867 thousand and $547 thousand at the end of 2014 and 2013, respectively. During 2014, the company liquidated certain LIFO inventories that had been carried at lower costs in prior years, and the effect of the liquidation was to decrease COGS by $263 thousand. No LIFO liquidation occurred in 2013.

After adjusting for the LIFO liquidation in 2014, the change in gross profit margin compared with 2013 is most likely:

A. essentially unchanged.

B. higher by 2.5%.

C. lower by 2.3%.

Solution

C is correct.

Gross profit margin = (Sales − COGS)/Sales × 100

Gross profit under LIFO in 2014 ($ thousands) = 11,159 − 9,898 = 1,261

This figure arose in part from the LIFO liquidation, which decreased COGS by $263,000 and hence increased gross profit.

Adjusting the gross profit downward by this amount gives adjusted gross profit ($ thousands) of 1,261 − 263 = 998. (Why is here a subtract, not addition of the liquidation $263? The gross profit should be increased, not decreased.)

Adjusted gross profit margin in 2014 = (998/11,159) × 100 = 8.9%

Gross profit margin in 2013 = (8,895 − 7,901)/8,895 = 11.2%

After adjusting for the LIFO liquidation, gross profit margin is lower by (11.2% − 8.9%) = 2.3%.

Can some one help me?
Best thanks! :blush:

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The COGS of $9,898k in 2014 already reflects the LIFO liquidation. In other words, the LIFO liquidation reduced COGS by $263k to $9,898k.

The question is asking to adjust for LIFO liquidation (i.e. what is the COGS if we remove the effect of the lowest cost inventory). So, the COGS in 2014 excluding the LIFO liquidation effect = $9,898k + $263k

Then the adjusted gross profit = $11,159 - ($9,898 + $263) = 11,159 - 9,898 - 263

Now is clear.
Thanks for your help. :smile:

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