The contribution margin

What is the contribution margin? This important value is defined in the costs and performance calculation as the amount that is available to a company from a specific revenue to cover their fixed costs. The contribution margin may refer to an individual product, a group of products or the total sales, as required. It gives information about what proportion of the revenue contributes to covering fixed costs. Fixed costs are defined as costs that are separate from the revenue of the company. These can be rent, interest, depreciations, and sometimes even wage costs, for example. By contrast, variable costs are those that rise or fall based on production quantities (e.g. raw materials and transport costs).

The contribution margin gives meaningful results when it stands in relation to other values. If you compare the contribution margin to the fixed costs, you obtain information on whether the company is making profits or losses. The relationship between the contribution margin and a company’s customer base may also be relevant in identifying clients that are particularly valuable to the company.

• The contribution margin is greater than the fixed costs: the company is making a profit in the standard business operations, as the receipts exceed the expenses.
• The contribution margin is the same as fixed costs: the result in the standard business operations has reached the point where it is balanced (break-even point).
• The contribution margin is lower than the fixed costs: the company is making a loss in the standard business operations, as the expenses exceed the receipts.

You can improve the result by reducing the variable costs for the use of raw materials or in the production process, by increasing the revenue with sales efforts, for example, or also lower the fixed costs.

You differentiate between the unit and total contribution margin. The calculation of the values is carried out using the relevant contribution margin formula.

Unit contribution margin: The difference between the unit price p and the variable unit costs cv yields the unit contribution margin. This value indicates how much a product or a service contributes to covering fixed costs per unit.

UCM = p – cv

Total contribution margin: By multiplying the unit contribution margin UCM by the amount of sales x you arrive at the total contribution margin TCM. With the help of the total contribution margin, you can identify how much the product or services have made in total (within a specific period).

TCM = UCM * x

To identify the unit contribution margin and the total contribution margin, you can use single-stage or multi-stage contribution margin calculations. The relative contribution margin also enables you to identify an optimised production program.

The result of the single-stage contribution margin calculation provides information about the profitability of the company overall and is therefore of interest for general corporate decision-making in particular. With the multi-stage contribution margin calculation however, you can investigate the profitability of individual products, groups of products or areas of business, and make significant differentiated predictions for this.

1. You calculate the contribution margin for each individual partial revenue (here: models of bicycle) by subtracting the variable costsfrom the sales proceedsin question. Bicycle model A achieves sales of £$20,000 and has variable costs of £$5,000. The contribution margin is therefore £$15,000.
2. Addthe individualcontribution marginstogether to obtain the total contribution margin.
3. Thendeduct the total fixed costs from the total contribution margin to determine the operating result. In the example, the total contribution margin comes to £$23,000. Taking into account the fixed costs of £$5,000, you come to the operating result of £$18,000.

1. In the same way as for the single-stage contribution margin calculation, in the first stage you determine the contribution margin for each individual product and add the individual contributions (four in our example) to contribution margin I.
2. If you have identified the product-specific contribution margin, you thendeduct the associated fixed costs for each product and you obtain contribution margin II for the product. Thetotal of contribution margin II for each product from a department gives contribution margin II for this department, and the total of these amounts in turn gives contribution margin II for the overall operations.
3. You subtract the departmental fixed costs fromcontribution margin IIfor the department in each case, to obtain contribution margin III for each department.
4. Now put together the totals for contribution margin III in each case and you obtain contribution margin III for overall operations. To find the operating result, the final stage is to subtract the company fixed costs from this contribution margin III.

If the machine actually represents the bottleneck in the production and sales of bicycles, so if all other production and sales stations have a higher capacity, then bicycle B has a higher contribution margin than bicycle A and should therefore have production priority.

In practice, the comparisons are not that simple of course. In our example, twice as many bicycles of type B than type A would have to be produced for the calculation to be correct. However, the demand for B bicycles would not be sufficient to use the machine to capacity. The bottleneck would consequently no longer be the machine but the sales of bicycles of type B. Then the theoretically higher contribution margin would not be achieved in reality.

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