Operating profit
EBIT = Q(p - v) - FContribution margin must first cover fixed cost; only the remainder is operating profit.
Foundations
Operating Leverage
The sensitivity of operating profit to revenue when part of the cost base is fixed.
Mental model
When fixed costs remain, a revenue change can produce a larger proportional change in operating profit.
Variable costs move with activity; fixed costs remain when activity falls.
After fixed costs are covered, extra revenue can add profit quickly. Before that point, a small revenue shortfall can consume profit just as quickly.
Explore the mechanism
Why can a modest change in sales create a much larger percentage change in operating profit?
Change activity and the cost structure. Revenue and variable cost move with quantity; fixed cost remains in place.
−10% quantity132Current profit180+10% quantity228
Break-even quantity 50.0Degree of operating leverage 2.67×
Contribution is 480 and operating profit is 180. A 1% revenue change implies about a 2.67% profit change locally. This is percentage amplification around the current point, not mathematical convexity.
UNDERSTAND
What to notice
Long leases, committed capacity and permanent staff can all create operating leverage even when no financial debt is present.
Operating leverage is not automatically bad. It is a trade: more fixed capacity can improve upside while making weak demand more painful.
The quantitative structure
Notation
Q- units sold
p- price per unit
v- variable cost per unit
F- fixed operating cost
Degree of operating leverage
DOL = Q(p - v) / (Q(p - v) - F)Near break-even, a small revenue change creates a much larger percentage change in profit.
A small example
Volume near break-even
A service earns 40 contribution per unit, sells 3,000 units, and has 100,000 fixed cost.
- Contribution is 3,000 * 40 = 120,000.
- EBIT is 120,000 - 100,000 = 20,000.
- DOL is 120,000 / 20,000 = 6.
ResultAround this volume, a 1% sales change produces approximately a 6% EBIT change under the fixed-cost model.
Where it appears
- data-centre capacity planning
- airline and manufacturing economics
- stress-testing capital-intensive businesses
Where the intuition breaks
What this view leaves out
- Operating leverage depends on the current activity level and cost horizon; it does not by itself create option-like convexity.
Common mistakes
“High operating leverage means profit is mathematically convex in demand.”
Not quite.With constant unit margin and fixed cost, profit remains linear in demand even though percentage profit changes are amplified near break-even.
Where this concept sits
Follow the strongest prerequisites, applications, extensions, and contrasts.
Connections for Operating Leverage
Operating LeverageYOU ARE HERE
Built onFixed versus Variable CostsOperating leverage exists because the cost base contains costs that do not move one-for-one with activity.
Supported byCapacity UtilizationUtilization determines how many units carry the fixed capacity cost, making it a direct driver of operating sensitivity.
SupportsNonlinear RiskOperating leverage can create a steeper downside once falling revenue pushes a business toward break-even.
SupportsRisk TransmissionHigh fixed costs can transmit a demand shortfall into rapid margin compression, retrenchment and pressure on counterparties.
Contrasts withMargin and LeverageOperating leverage amplifies profit through fixed costs, while financial and collateral leverage amplify losses through obligations and margin thresholds.
Built on · Fixed versus Variable Costs
Operating leverage exists because the cost base contains costs that do not move one-for-one with activity.
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