Final answer:
Eliminating the segment would result in an additional income decrease of $2,700 for the company, as the revenue lost exceeds the savings on variable and avoidable fixed costs.
Step-by-step explanation:
The student is asking for a computation of the income increase or decrease that would result from eliminating a business segment displaying a loss. The segment in question currently has $64,000 in sales, $21,600 in variable costs, and $49,700 in fixed costs, leading to a loss of $6,500. If the segment is eliminated, all $21,600 of the variable costs and $39,700 of the avoidable fixed costs will not be incurred anymore.
To calculate the income change, we should consider both the elimination of variable costs and the avoidable fixed costs:
- Lose sales revenue: -$64,000
- Less variable costs: +$21,600
- Less avoidable fixed costs: +$39,700
The calculation would be -$64,000 (lost sales) + $21,600 (saved variable costs) + $39,700 (saved fixed costs) = -$2,700. This means that by eliminating the segment, the company's income would decrease by an additional $2,700, as it would lose more revenue than the sum of the costs it saves.