Final answer:
The statement that traceable costs for the trench line are $140,000 is incorrect because there is not enough data to verify it. Additionally, without the total costs for both product lines, the company's operating income cannot be confirmed, and edging line's performance should be assessed on the segment margin which is $65,000 excluding allocated common fixed costs.
Step-by-step explanation:
The statement 'Traceable costs for the trench line are $140,000' is incorrect. To determine if this statement is true, we must subtract the trench line's traceable fixed costs from the total product costs. The trench line's contribution margin percentage is given as 60%, which means the variable cost percentage is 40%. However, without the trench line's total sales revenue or total product costs, this statement cannot be verified and thus should be considered incorrect.
The company's operating income cannot be determined accurately without the specific figures for both the edging and trench product lines. Since we do not have the total costs for the trench line, we cannot add this to the edging line's costs to determine if the company's operating income for the period is $150,000.
Lastly, the edging line's performance based on a segment margin of $65,000 assesses profitability after accounting for direct expenses and traceable fixed costs. The segment margin is found by subtracting the variable product costs and traceable fixed costs from the sales revenue and does not include arbitrarily allocated common fixed costs.