Break-Even Units & Contribution Margin Calculator
Break-even analysis determines the exact unit volume Q where total contribution margin Q × (P - VC) equals fixed overhead costs FC.
Number of units required for zero operating profit/loss
Overhead costs independent of volume (rent, salaries, tooling)
Revenue collected per unit sold
Direct material, labor, and fulfillment cost per unit
Step-by-Step Calculation
Break-even analysis determines the exact unit volume Q where total contribution margin Q × (P - VC) equals fixed overhead costs FC.
Real-World Reference Values
Dollar profit per unit contributing toward fixed overhead
Share of each revenue dollar available to cover FC
Multiply solved units Q by price P for top-line break-even
20-Row Comparison Table
Break-Even Volume (Units) (Q) · Total Fixed Costs (FC)
| # | Total Fixed Costs ($) | Break-Even Volume (Units) (Q) | Δ % |
|---|---|---|---|
| 01 | 100 $ | 1.6667 | -99.92% |
| 02 | 78,778.22 $ | 1,312.97 | -34.35% |
| 03 | 120,000.00 $Current | 2,000.00 | 0.00% |
| 04 | 236,134.67 $ | 3,935.58 | +96.78% |
| 05 | 314,812.89 $ | 5,246.88 | +162.34% |
| 06 | 393,491.12 $ | 6,558.19 | +227.91% |
| 07 | 472,169.34 $ | 7,869.49 | +293.47% |
| 08 | 550,847.57 $ | 9,180.79 | +359.04% |
| 09 | 629,525.79 $ | 10,492.10 | +424.60% |
| 10 | 708,204.01 $ | 11,803.40 | +490.17% |
| 11 | 786,882.24 $ | 13,114.70 | +555.74% |
| 12 | 865,560.46 $ | 14,426.01 | +621.30% |
| 13 | 944,238.68 $ | 15,737.31 | +686.87% |
| 14 | 1,022,916.91 $ | 17,048.62 | +752.43% |
| 15 | 1,101,595.13 $ | 18,359.92 | +818.00% |
| 16 | 1,180,273.36 $ | 19,671.22 | +883.56% |
| 17 | 1,258,951.58 $ | 20,982.53 | +949.13% |
| 18 | 1,337,629.80 $ | 22,293.83 | +1014.69% |
| 19 | 1,416,308.03 $ | 23,605.13 | +1080.26% |
| 20 | 1,494,986.25 $ | 24,916.44 | +1145.82% |
Frequently Asked Questions
What happens when Unit Selling Price P approaches Variable Cost VC?+
Unit contribution margin (P - VC) approaches zero, causing break-even volume Q to spike asymptotically toward infinity.
How do I solve for the unit price needed to break even at 1,000 units?+
Select P (Unit Selling Price) as the target variable and enter Q = 1000 alongside your fixed and variable costs.
How do I include a target profit in break-even units?+
Add your target dollar profit directly to Fixed Costs FC before solving for Q.