Question

Therrell Corporation has two divisions: Bulb Division and Seed Division. The following report is for the most recent operating period: Bulb Division Seed Division Sales $ 234,000 $ 156,000 Variable expenses $ 60,840 $ 32,760 Traceable fixed expenses $ 135,730 $ 76,440 Common fixed expense $ 25,980 $ 17,320 The common fixed expenses have been allocated to the divisions on the basis of sales. Required: a. What is the Bulb Division’s break-even in sales dollars? b. What is the Seed Division’s break-even in sales dollars? c. What is the company’s overall break-even in sales dollars?

Answer 1

Answer:

a. For Bulb = $183,418.92

b. For Seed = $96,759.49

c. Break even = $336,144.74

Explanation:

Sales = Bulb Division + Seed Division

= $234,000 + $156,000

= $390,000

Variable Expense = Bulb Division + Seed Division

= $60,840 + $32,760

= $93,600

Contribution margin for bulb = Sales - Variable

= $234,000 - $60,840

= $173,160

Contribution margin for Seed division = Sales - Variable

= $156,000 - $32,760

= $123,240

Total = $390,000 - $93,600

= $296,400

Division Income for bulb = contribution margin - Traceable fixed expenses

= $173,160 - $135,730

= $37,430

Division Income for seed division = contribution margin - Traceable fixed expenses

= $123,240 - $76,440

= $46,800

Total of Division income = $296,400 - $212,170

= $84,230

Common Fixed expenses = $25,980 + $17,320

= $43,300

Income = Total of Division income - Common Fixed expenses

= $84,230 - $43,300

= $40,930

Contribution margin ratio for bulb = Contribution ÷ Sales × 100

= $173,160 ÷ $234,000 × 100

= 74.00%

Contribution margin ratio for seed = Contribution ÷ Sales × 100

= $123,240 ÷ $156,000 × 100

= 79%

Total Contribution margin ratio for bulb and seed  = Contribution ÷ Sales × 100

= ($173,160 + $123,240) ÷ $390,000 × 100

= $296,400 ÷ $390,000 × 100

= 76%

a and b. Division’s break-even in sales dollars = Fixed costs ÷ Contribution margin ratio

For Bulb = $183,418.92

For Seed = $96,759.49

c. company’s overall break - even in sales dollars

= (212170 + 43300) ÷ 76%

= $336,144.74