A break-even point is the moment when a business has earned exactly enough revenue to cover all of its costs. It matters because it tells an entrepreneur how many items must be sold before the business starts making a profit. For a student running a snack stand, selling shirts, or planning an app, break-even analysis helps turn a big idea into a realistic plan.
It connects business decisions to math, graphs, and financial literacy.
Key Facts
- Profit = Revenue - Total Cost
- Revenue = Price per unit × Number of units sold
- Total Cost = Fixed Cost + Variable Cost
- Total Cost = Fixed Cost + Variable Cost per unit × Number of units sold
- Break-even units = Fixed Cost ÷ (Price per unit - Variable Cost per unit)
- At the break-even point, Revenue = Total Cost and Profit = 0
Vocabulary
- Break-even point
- The break-even point is the sales level where total revenue equals total cost, so the business has no profit and no loss.
- Revenue
- Revenue is the total money a business earns from selling goods or services.
- Fixed cost
- A fixed cost is a cost that stays the same no matter how many units are produced or sold.
- Variable cost
- A variable cost is a cost that changes with the number of units produced or sold.
- Profit
- Profit is the money left after all costs are subtracted from revenue.
Common Mistakes to Avoid
- Forgetting fixed costs. This is wrong because rent, equipment, licenses, or setup fees must be paid even if zero items are sold.
- Using total cost as if it were only variable cost. This is wrong because total cost includes both fixed costs and variable costs.
- Thinking every sale is pure profit. This is wrong because each unit usually has a cost to make, package, deliver, or support.
- Reading the graph before the lines cross as profit. This is wrong because the business is still losing money until the revenue line reaches the total cost line.
Practice Questions
- 1 A student sells bracelets for 60, and each bracelet costs $2 to make. How many bracelets must be sold to break even?
- 2 A small business sells smoothies for 120 per day, and each smoothie costs $1.50 to make. Find the break-even number of smoothies.
- 3 On a break-even chart, the revenue line crosses the total cost line at 200 units. Explain what happens financially if the business sells 150 units, 200 units, and 250 units.