Final answer:
To calculate the adjustment to Black, Inc.'s retained earnings at January 1, 2014, we need to determine the cumulative effect of the errors on the 2012 and 2013 financial statements. The errors resulted in a total decrease of $401,000, so Black, Inc.'s retained earnings should be retroactively adjusted by $14,000 decrease. Option c
Step-by-step explanation:
To calculate the adjustment to Black, Inc.'s retained earnings at January 1, 2014, we need to determine the cumulative effect of the errors on the 2012 and 2013 financial statements.
For 2012, the inventory was overstated by $162,000 and the depreciation expense was overstated by $135,000. This means that Black, Inc.'s expenses were overstated by a total of $297,000 in 2012.
For 2013, the inventory was understated by $59,000 and the depreciation expense was understated by $45,000. This means that Black, Inc.'s expenses were understated by a total of $104,000 in 2013.
Therefore, the cumulative effect of the errors on Black, Inc.'s retained earnings at January 1, 2014 would be a decrease of $401,000 ($297,000 + $104,000). So, the correct answer is c. $14,000 decrease.