Petteway Corporation has two divisions: Home Division and Commercial Division. The following report is for the most recent operating period:  Total CompanyHome DivisionCommercial DivisionSales$702,000$354,000$348,000Variable expenses$242,460$138,060$104,400Traceable fixed expenses$325,000$152,000$173,000Common fixed expense$77,220$38,940$38,280 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?

What will be an ideal response?



 Total CompanyHome DivisionCommercial Division
Sales$702,000 $354,000 $348,000
Variable expenses 242,460  138,060  104,400
Contribution margin 459,540  215,940  243,600
Traceable fixed expenses 325,000  152,000  173,000
Segment margin 134,540 $63,940 $70,600
Common fixed expenses 77,220      
Net operating income$57,320      
 

a.

Home Division break-even:

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)

Business

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