Asked by Nancy Lainez on Jul 22, 2024
Verified
Petteway Corporation has two divisions: Home Division and Commercial Division.The following report is for the most recent operating period: The common fixed expenses have been allocated to the divisions on the basis of sales.
Required:
a.What is the Home Division's break-even in sales dollars?
b.What is the Commercial Division's break-even in sales dollars?
c.What is the company's overall break-even in sales dollars?
Break-even
The point at which total revenues equal total costs, resulting in no profit or loss.
Sales Dollars
The total revenue a company generates from sales activities before any expenses are deducted.
Common Fixed Expenses
Expenses that do not change with the level of production or sales and are shared by different segments or products of a company.
- Assess the break-even points for various divisions and the overall firm.
- Understand the allocation of common fixed expenses among divisions.
Verified Answer
Segment CM ratio = Segment contribution margin ÷ Segment sales
= $215,940 ÷ $354,000 = 0.610
Dollar sales for a segment to break even = Traceable fixed expenses ÷ Segment CM ratio
= $152,000 ÷ 0.610 = $249,180
b.Commercial Division break-even:
Segment CM ratio = Segment contribution margin ÷ Segment sales
= $243,600 ÷ $348,000 = 0.700
Dollar sales for a segment to break even = Traceable fixed expenses ÷ Segment CM ratio
= $173,000 ÷ 0.700 = $247,143
c.The company's overall break-even sales:
CM ratio = Contribution margin ÷ Sales
= $459,540 ÷ $702,000 = 0.655 (rounded)
Total fixed expenses = Total traceable fixed expenses + Common fixed expenses
= $325,000 + $77,220 = $402,220
Dollar sales to break even = Total fixed expenses ÷ CM ratio
= $402,220 ÷ 0.655 = $614,437 (using the unrounded CM ratio)
Learning Objectives
- Assess the break-even points for various divisions and the overall firm.
- Understand the allocation of common fixed expenses among divisions.
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