About the Multi-Product Break-Even Calculator
When a business sells more than one product, there is no single break-even point — it depends on the mix of products sold. This multi-product break-even calculator takes the price, variable cost and sales-mix proportion of up to four products plus your total fixed costs, computes the weighted average contribution margin per unit, and returns the number of units of each product (and total revenue) needed to break even or to hit a target profit.
It is designed for cost and managerial accounting students working sales-mix problems, and for owners of restaurants, shops, manufacturers and service firms who sell a range of items with different margins. Changing the mix shows how shifting sales toward higher-margin products lowers the break-even point.
Enter the sales mix as relative units sold — for example 3 : 2 : 1, or 50, 30, 20 — and set a product’s mix to 0 to leave it out. The calculation assumes prices, unit variable costs, fixed costs and the sales mix stay constant across the volume range.
With the default inputs, the break-even sales revenue is $322,500.00. Change any value above to recalculate instantly.
How to use the multi-product break-even calculator
- 1Enter total fixed costs for the period and any target profit.
- 2For each product, enter the selling price and variable cost per unit.
- 3Enter the sales mix as relative units sold (set unused products to 0).
- 4Read the break-even revenue, weighted contribution margin and units per product.
- 5Try a different mix to see how it changes the break-even point.
Formula and method
Each product’s contribution margin per unit is its selling price minus its variable cost per unit. Weighting those margins by the sales mix gives the weighted average contribution margin (WACM) — the contribution of one “average” unit. Dividing fixed costs (plus any target profit) by WACM gives the total units needed, which are then split back into individual products in the same mix proportions.
Break-even revenue is the sum of each product’s units × price, which equals fixed costs ÷ the weighted contribution margin ratio (WACM ÷ weighted average price). This is the same answer you get with the “composite unit” method. The result is only valid while the sales mix holds; if customers buy proportionally more low-margin items, the break-even point rises.
- WACM
- Weighted average contribution margin per unit
- Mixᵢ
- Relative units sold of product i
- VCᵢ
- Variable cost per unit of product i
Worked examples
Three products sold 3 : 2 : 1
Unit margins are $20, $35 and $30. Weighted by a 3 : 2 : 1 mix, the average unit contributes $160 ÷ 6 = $26.67. $120,000 ÷ $26.67 = 4,500 units: 2,250 of A, 1,500 of B and 750 of C, or $322,500 of sales.
Same mix with a $30,000 profit target
To earn $30,000 on top of fixed costs, the business needs $150,000 ÷ $26.67 = 5,625 units in the same mix, or $403,125 of revenue.
Two-product café (drinks and meals)
With four $8-margin items sold for every $15-margin item, WACM is ($32 + $15) ÷ 5 = $9.40. Covering $50,000 of fixed costs needs about 5,319 units — 4,255 of the first product and 1,064 of the second — or $122,340 of sales.
Frequently asked questions
What is the weighted average contribution margin?+
It is the average contribution per unit across all products, weighted by how many of each you sell. Multiply each product’s unit margin by its share of units sold and add them up.
How do I enter a sales mix given as percentages of revenue?+
This calculator expects a mix in units. To convert a revenue mix, divide each product’s revenue share by its price and use those numbers as the relative unit mix.
Why does the break-even point change when the sales mix changes?+
Products have different contribution margins. Selling relatively more high-margin products raises the weighted average margin, so fewer total units are needed to cover fixed costs, and vice versa.
What is the composite unit method?+
It treats one bundle in the mix proportion (for example 3 A + 2 B + 1 C) as a single unit. Fixed costs divided by the bundle’s contribution gives the number of bundles, which gives the same answer as the weighted average method.
What are the assumptions of multi-product break-even analysis?+
Prices, variable costs per unit, total fixed costs and the sales mix are all assumed constant over the relevant range, and all costs can be classified as fixed or variable.