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Multi-Product Break-Even: Use a Sales-Mix Basket

Build a break-even basket for several products and show how a changing sales mix moves the required units and revenue.

By PriceAndProfit Editorial Updated 3 min read

On this page
  1. Worked calculation
  2. Decision checks and limits
  3. Apply the calculation

A multi-product break-even calculation needs an assumed sales mix. Without it, one total unit count does not identify how much contribution those units create. A practical approach is to define a small composite basket representing the expected mix, calculate its revenue and contribution, and determine how many such baskets cover the period's fixed costs.

Worked calculation

Basket contribution = sum of product units in basket × each unit contribution; required whole baskets = round up(fixed costs ÷ basket contribution)

Suppose the expected mix is three units of A for every two units of B. A sells for $30 and has $18 variable cost, contributing $12 per unit. B sells for $50 and has $20 variable cost, contributing $30. One five-unit basket generates $190 revenue and $96 contribution: three times $12 plus two times $30. With $9,600 fixed costs, break-even requires 100 baskets, or 300 A units and 200 B units, producing $19,000 revenue.

Check the complete result: A revenue is $9,000 and B revenue is $10,000. Variable cost is $5,400 for A and $4,000 for B, totaling $9,400. Subtracting $9,400 variable costs and $9,600 fixed costs from $19,000 revenue leaves zero operating profit. This reconciliation prevents an average from hiding a missing cost or an inconsistent product quantity.

Hypothetical worked example
Mix basketRevenue per basketContribution per basketWhole basketsOperating profit
3 A + 2 B $190 $96 100 $0
4 A + 1 B $170 $78 124 $72

Decision checks and limits

Now change the mix to four A units for every one B unit. A basket generates $170 revenue but only $78 contribution. The continuous requirement is $9,600 divided by $78, or approximately 123.0769 baskets. Rounding up to 124 complete baskets means 496 A units and 124 B units, generating $21,080 revenue and $9,672 contribution. Operating profit is $72. The same total five units per basket now require more sales because the mix shifted toward lower contribution.

A basket is a planning representation, not a rule that customers must buy products in that bundle. If actual quantities depart from the assumed ratio, calculate actual contribution directly. Capacity and demand can make the planned mix unattainable, especially when the higher-contribution product has a smaller market or uses a constrained machine. Negative-contribution products can remain in a basket mathematically, but they reduce the total and require a documented commercial reason. If basket contribution is zero or negative while fixed costs are positive, that mix has no positive-volume break-even point.

Apply the calculation

  1. Specify the mix explicitly

    Write the units of each product in a representative basket and identify the evidence behind that forecast.

  2. Round the feasible plan

    Round to complete baskets when preserving that exact ratio, then recompute product quantities and total contribution.

  3. Test demand and capacity

    Confirm that the required quantities can be sold and produced in the same period, and recalculate when the observed mix changes.

Method references: OpenStax: Break-even units and dollars. Accessed October 22, 2026. All dollar figures are hypothetical worked examples.

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