Unit Contribution Margin

What is Unit Contribution Margin?

Unit contribution margin helps us determine how an additional unit of a product affects the profit of the company. This is obtained by subtracting variable costs incurred while producing that additional unit of product from the sale of the product itself.

How to Calculate Unit Contribution Margin?

The formula for calculating contribution margin per unit of product is as follows:

Here, the variable costs per unit refer to all those costs incurred by the company while producing the product. These include variable manufacturing, selling, and general and administrative costs as well. For example, raw materials, labor & electricity bills. Variable costs are those costs that change as and when there is a change in the sale. An increase of 10 % in sales results in an increase of 10% in variable costs. 

Unit Contribution Margin Example #1

Let us start by taking the example from the introduction. Also, let us make the assumption that the selling price of a single cupcake is $20. The variable cost part of making a single cupcake is $10. Hence, the contribution margin per additional unit of the cupcake will be:

$20 – $10 = $10

This simply means that by selling this cupcake, the net income or profit increases by $10.

An important point to be noted here is that fixed costs are not considered while evaluating the contribution margin per unit. In reality, there will be a negative contribution to contribution margin per unit from fixed costs component.

Unit Contribution Margin Example #2

Let’s look at another example where a company manufactures furniture set. The required data is as follows:

• The selling price of furniture set = $ 150
• Variable manufacturing cost = $ 80
• Variable labour cost = $ 30
• Variable selling and administrative cost = $ 10
• Number of units sold during the accounting period = 2500

As contribution margin per unit formula = Sales per unit – Total Variable costs per unit

= $ [150 – (80+30+10)]

= $ [150-120] = $30

In the above example, Total C0ntribution Margin would be calculated as follows:

• Total contribution margin = Sales Revenue – Total Variable Expenses
• Sales revenue = (Selling price)*(No. of units sold) = 150*2500

Sales Revenue will be:

• Total Variable expense = (Total variable costs per unit)*(no. of units sold)
• = (80+30+10)*(2500)

So, the Total Variable expense will be:

So, Total Contribution Margin = 375000-30000 = $ 75000

Total Contribution Margin will be:

Unit Contribution Margin Example #3

In this example, we’ll consider a case where a corporation is into multiple product manufacturing. Consider the below table for the required business data:

Total Variable cost for A = 75000+1150

Total Variable cost for B = 150000+2500

Total Variable cost for C = 8000+250

And,

Total Contribution margin for A = $(100000-76150) = $ 23850

Total Contribution margin for B = $(185000-152500) = $ 32500

Total Contribution margin for C = $(75000-8250)= $ 66750

So,

Unit Contribution Margin of A = $ (23850)/ (no. of units of A sold) = $ 23850/300 = $ 79.5

Unit Contribution Margin of B = $ (23850)/ (no. of units of B sold) = $ 32500/250 = $ 130

Unit Contribution Margin of C = $ (23850)/ (no. of units of C sold) = $ 66750/250 = $ 267

Note: As we can see here that while the revenue share is largest for Product B, it is Product C which has highest Contribution margin per Unit. In effect, it is product C which has the most profitability.

How Unit Contribution Margin is Helpful to a Business?

• Contribution margin per unit helps a business understand how profitable it is at the product level. This gives managers an important insight into various aspects of the business and helps them make better-informed decisions. Again, referring to our earlier example, knowing the unit contribution margin of each of the products sold at the bakery will help the manager make several decisions.
• These decisions could range from deciding which product to continue or discontinue producing and selling, how many additional units of a product to be produced, how to set the price of the product or how to determine the commissions on sales.

Conclusion

While contribution margin per unit formula is a very helpful matrix for managers to consider while maximizing their profits. Making decisions solely on basis of it, or even cutting out on products which have the lowest contribution margin might not always be the right thing to do. Managers should also consider the fixed cost associated with the production alongside.

Overall, it provides valuable information when used with other parameters in making major business decisions.

Recommended Articles

This has been a guide to Unit Contribution Margin. Here we discuss the formula and calculation of Contribution Margin per unit and how it is helpful to a business. You may learn more about financial analysis from the following articles –

• Sales Revenue Definition
• What is Variable Costing Income Statement?
• Variable Costing Formula
• Differences between Fixed cost vs Variable cost
• What are Direct Costs?
• What is Prime Cost?
• What is Sunk Cost?