What is Break-even point?

The sales or sales volume at which sales exactly equal costs (the sum of variable and fixed costs), so profit is zero. Break-even sales are found as fixed costs ÷ contribution margin ratio.

Japanese name: 損益分岐点

Break-even point appears in 5 practice questions across 1 topic, including Business Strategy and Accounting Basics.

Field: Business Strategy and Accounting Basics

How to find the break-even point

Costs are split into variable costs, which rise in proportion to sales, and fixed costs, which stay constant regardless of sales. The break-even point is the sales at which the contribution margin, sales minus variable costs, equals fixed costs, found as fixed costs ÷ contribution margin ratio. For example, with a variable cost ratio of 60% (contribution margin ratio 40%) and fixed costs of ¥3 million, break-even sales are 3 ÷ 0.4 = ¥7.5 million. When the price and variable cost per unit are known, the break-even sales volume is fixed costs ÷ (price − variable cost per unit).

Break-even ratio and margin of safety

Break-even sales divided by current sales is the break-even ratio, and one minus it is the margin of safety ratio. The margin of safety ratio shows by what percentage sales can fall before the company makes a loss; the higher it is, the more resistant the business is to falling sales. The sales needed for a target profit are found by adding the target profit to fixed costs and dividing by the contribution margin ratio.

Semiconductor fabs and the break-even point

A semiconductor fab requires large investment in manufacturing equipment and cleanrooms, and fixed costs such as their depreciation make up a high share of its costs. Large fixed costs raise the break-even point, so when demand falls and utilization drops, profit falls much more than sales. Conversely, once past the break-even point, the high contribution margin ratio makes increases in sales feed strongly into profit. Fabless companies, which specialize in design and outsource manufacturing, have relatively low fixed costs and tend to have lower break-even points.

Try it: questions about Break-even point

A company has sales of ¥50 million, variable costs of ¥20 million and fixed costs of ¥24 million. Which is its break-even sales?

  1. A¥40 million
  2. B¥44 million
  3. C¥60 million
Show answer and explanation

Answer: A. ¥40 million

The variable cost ratio is 20 ÷ 50 = 0.4, so the contribution margin ratio, the part of sales available to cover fixed costs, is 1 − 0.4 = 0.6. Break-even sales are the sales at which the contribution margin exactly covers the fixed costs, so 24 ÷ 0.6 = ¥40 million. The current sales of ¥50 million are above the break-even point, and the profit is 50 − 20 − 24 = ¥6 million.

A semiconductor manufacturer is developing a dedicated chip. The selling price per chip is ¥4,000, the variable cost per chip (wafer, package, test and so on) is ¥2,400, and the fixed costs such as mask making and design are ¥800 million. Which is the break-even sales volume?

  1. A200,000 units
  2. Babout 330,000 units
  3. C500,000 units
Show answer and explanation

Answer: C. 500,000 units

Each chip sold earns a contribution margin of 4,000 − 2,400 = ¥1,600. To cover the fixed costs of ¥800 million with this margin, 800 million ÷ 1,600 = 500,000 units must be sold, and the sales at that point (the break-even sales) are 500,000 × 4,000 = ¥2 billion. In general, the more advanced the process, the larger the fixed costs for masks and design, so a product with a small sales volume may never reach its break-even point.

FAQ

How can the break-even point be lowered?

Either reduce fixed costs or lower the variable cost ratio (raise the contribution margin ratio). Methods include leasing equipment to cut fixed costs, buying materials more cheaply and raising prices. Measures such as automation, which raise fixed costs while lowering the variable cost ratio, can raise or lower the break-even point depending on expected sales.

What assumptions does break-even analysis make?

It uses a simple model in which the variable cost ratio is constant regardless of sales and fixed costs are also constant. In reality, materials may become cheaper as volume grows, and fixed costs rise when capacity is added beyond a certain volume, so the results are used as a guide within the range where the assumptions hold.

Break-even point in the explanations

Questions that mention Break-even point (5)

  1. A company has sales of ¥50 million, variable costs of ¥20 million and fixed costs of ¥24 million. Which is its break-even sales?
  2. A semiconductor manufacturer is developing a dedicated chip. The selling price per chip is ¥4,000, the variable cost per chip (wafer, package, test and so on) is ¥2,400, and the fixed costs such as mask making and design are ¥800 million. Which is the break-even sales volume?
  3. Which is the margin of safety ratio of a company with sales of ¥200 million, a variable cost ratio of 70% and fixed costs of ¥45 million?
  4. Compared with an IDM (integrated device manufacturer), which manufactures in its own fabs, which is a typical characteristic of a fabless company?
  5. At a fab, the monthly number of wafer starts x (thousand wafers) and electricity cost y (¥ million) were (x, y) = (2, 5), (4, 9), (6, 11) and (8, 15). If the regression line y = ax + b is found by the least squares method and the slope a is taken as the variable cost per thousand wafers and the intercept b as the fixed cost, which combination is correct?

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Related terms

Fixed cost Variable cost Contribution margin IDM (integrated device manufacturer) Fabless Depreciation Foundry Correlation coefficient ABC analysis Five forces analysis

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