Question

Total Company North South Sales $ 600,000 $ 400,000 $ 200,000 Variable expenses 360,000 280,000 80,000 Contribution margin 240,000 120,000 120,000 Traceable fixed expenses 120,000 60,000 60,000 Segment margin 120,000 $ 60,000 $ 60,000 Common fixed expenses 50,000 Net operating income $ 70,000 Required: 1. Compute the companywide break-even point in dollar sales. 2. Compute the break-even point in dollar sales for the North region. 3. Compute the break-even point in dollar sales for the South region.

Answer 1

1. Company wide break-even point in dollar sales= $425,000

2. Break-even point in dollar sales for North region= $200,000

3. Break-even point in dollar sales for South region = $100,000

Step-by-step explanation:

1. Computation of the companywide break-even point in dollar sales

First step is to find the Contribution margin ratio

Using this formula

Contribution margin ratio = Contribution margin / Sales

Contribution margin ratio:

Total company: ($240,000/$600,000)=0.4

North : ($120,000/$400,000)=0.4

South : ($120,000/$200,000)=0.6

Now let compute the Company wide break-even point in dollar sales using this formula

Company wide break-even point in dollar sales= Fixed costs / Contribution margin ratio

Let plug in the formula

Company wide break-even point in dollar sales= ($120,000 + $50,000) / 0.4

Company wide break-even point in dollar sales= $425,000

2. Computation for the break-even point in dollar sales for the North region using this formula

Break-even point in dollar sales for North region = Traceable fixed expenses / Contribution margin ratio

Let plug in the formula

Break-even point in dollar sales for North region= $60,000 / 0.3

Break-even point in dollar sales for North region= $200,000

3. . Computation for the break-even point in dollar sales for the South region.

Using this formula

Break-even point in dollar sales for South region = Traceable fixed expenses / Contribution margin ratio

Let plug in the formula

Break-even point in dollar sales for South region = $60,000 / 0.6

Break-even point in dollar sales for South region = $100,000