Final answer:
Eliminating the small tools division would lead to a reduction in Carns Company's operating income by $36,000.
Step-by-step explanation:
The question is about the financial impact on Carns Company's operating income if it decides to eliminate its small tools division. To calculate the impact, we consider the operating loss of the division, along with its sales, variable costs, and fixed costs.
When a division is eliminated, only a portion of the fixed costs may be saved, in this case, 45%. If we assume the fixed costs that can be eliminated amount to $99,000 (45% of $220,000), the savings from cutting the division would be offset by the loss of contribution margin (sales minus variable costs).
The division's contribution margin is $135,000 ($1,310,000 in sales minus $1,175,000 in variable costs). Therefore, eliminating the small tools division would actually reduce Carns Company's operating income by the difference between the contribution margin and the eliminated fixed costs, which is $135,000 - $99,000 = $36,000.