Product level · Fundamental metric
Unit Contribution Margin (cm)
cm = Selling price − Variable cost per unit
The contribution margin per unit sold – the most fundamental metric. It shows how much each individual unit contributes towards covering fixed costs. As long as cm > 0, production makes sense in the short term, even if the product still shows a loss under full costing.
Example: €50 selling price − €30 variable costs = €20 cm. Every unit sold contributes €20 towards fixed cost coverage.
Short-term price floor: the minimum price at which cm = 0 – in this example, €30.
Product level · Aggregate view
Total Contribution Margin (CM)
CM = Unit CM × Sales volume
The sum of all unit contribution margins for a product or product line – shows total profitability. Unlike the unit CM, it accounts for the actual quantity sold and is therefore the basis for the income statement.
Example: €20 cm × 1,000 units = €20,000 CM. This amount is available to cover fixed costs.
Alternatively, directly: revenue (€50,000) − total variable costs (€30,000) = €20,000 CM.
Product level · Benchmark metric
CM Ratio (Contribution Margin Ratio)
CM ratio = Contribution margin ÷ Revenue × 100
The percentage of revenue that remains after variable costs – makes products at different price points directly comparable. A high CM ratio signals that a large share of each revenue euro is not absorbed by variable costs.
Example: €20,000 ÷ €50,000 × 100 = 40 % CM ratio. Of every euro of revenue, 40 cents remain for fixed cost coverage.
Also on unit level: €20 ÷ €50 × 100 = 40 % – the result is identical.
Method · Cost accounting
Direct Costing
Principle: variable costs → product · fixed costs → period
Not a metric in itself, but a cost accounting principle: under direct costing, only variable costs are assigned to products, while fixed costs are allocated to the period as a whole. This greatly simplifies short-term decisions – price floors, product mix optimisation, and make-or-buy analyses can all be evaluated without arbitrary fixed cost allocation.
Advantage in practice: You immediately see that Product A (cm = €20) is worthwhile short-term, while Product B (cm = −€5) destroys value at any price above the floor.
Opposite: absorption costing – fixed costs are allocated to products, which can distort decisions.
System · Single stage
Single-Stage CM Analysis (CM I)
Operating income = CM − total fixed costs
The simplest form: a single step separates variable from fixed costs. The total contribution margin of all products is calculated, then fixed costs are deducted as a block. Fast and clear – ideal for businesses with a straightforward cost structure or for short-term decisions.
Example: CM €20,000 − fixed costs €12,000 = €8,000 operating income.
Limitation: fixed costs apply uniformly across all products – no distinction between product-level and company-level fixed costs.
System · Multi stage
Multi-Stage CM Analysis (CM I – CM III)
CM I − product fixed costs = CM II · CM II − divisional fixed costs = CM III
The more precise approach: fixed costs are assigned in layers. CM I (= revenue − variable costs) covers product-specific fixed costs → CM II. CM II covers divisional fixed costs (e.g. for a product group) → CM III. CM III covers company-level fixed costs → operating income.
Advantage: You see exactly at which level a product or division is profitable – enabling sound decisions on what to divest or expand.
Standard in multi-stage contribution margin accounting and the foundation of profit centre reporting.
Group level · Portfolio
Product Group Contribution Margin
Product group CM = Σ CM of all products in the group
Aggregates the individual contribution margins of related products into a group figure. Useful when products in a line share resources or fixed costs – the profitability of the group as a whole can then be assessed, even if individual products show a negative CM.
Example: Product A (CM €20,000) + Product B (CM −€3,000) + Product C (CM €8,000) = €25,000 product group CM. The group is profitable even though B makes a loss on its own.
Basis for portfolio decisions: when does it make sense to keep a loss-making product in the range?
Division level · Controlling
Divisional Contribution Margin
Divisional CM = Total CM − divisional fixed costs
Assesses the profitability of a business division, department, or profit centre. From the division's total contribution margin, the fixed costs directly attributable to that division are deducted – excluding company-level fixed costs that arise globally.
Example: Marketing products division: CM €20,000 − divisional fixed costs €8,000 = €12,000 divisional CM.
Key control metric in profit centre management: the division head is accountable for exactly this figure.
Format · Amount
Absolute Contribution Margin
Absolute CM = Revenue − variable costs (in €)
The contribution margin expressed in euros – as opposed to the percentage CM ratio. The absolute CM shows the concrete monetary amount available to cover fixed costs. Strength: reveals the actual volume; weakness: cannot be meaningfully compared across products without reference to revenue.
Example: Product X generates an absolute CM of €20,000; Product Y €5,000 – even though Y might have a higher CM ratio if its revenue is lower.
For budget decisions, the absolute CM is what counts: which product brings more money into fixed cost coverage?
Format · Efficiency
Relative Contribution Margin
Relative CM = Absolute CM ÷ bottleneck resource (e.g. machine hours)
Relates the contribution margin to a scarce resource (bottleneck) – e.g. machine hours, storage space, or labour. When bottlenecks exist, the relative CM is the decisive metric for production programme optimisation: produce whatever generates the highest contribution margin per unit of the bottleneck.
Example: Product A: CM €20 / 2 machine hours = €10/h. Product B: CM €15 / 1 machine hour = €15/h. Despite the lower absolute CM, B is more profitable when capacity is constrained.
Basis for linear programming and bottleneck management (Theory of Constraints).