Break-Even Student Count Calculator
See the minimum enrolment where contribution margin covers your fixed costs — before profit.
Break-even enrolment
- 1.Contribution margin = 40000 − 5000 = 35000
- 2.Break-even = ceil(1500000 ÷ 35000) = 43
How break-even enrolment is calculated
Fixed costs ÷ contribution margin
Contribution margin per student = fee − variable cost (materials, variable utilities, payment gateway fees, etc.).
Break-even count = ceil(fixed costs ÷ margin). If margin ≤ 0, break-even is impossible at the given fee.
Source
breakEvenStudents = ceil(fixedCosts ÷ (feePerStudent − variableCostPerStudent)). Requires positive contribution margin. Standard managerial accounting model.
Frequently asked questions
What counts as fixed costs?
Rent, salaried core staff, annual licences — costs that do not change with one more student in the short run.
What about scholarships?
Use average realised fee, not headline fee, or raise variable cost to reflect average discount.
Is this the same as batch break-even?
Same formula — scope fixed costs to the batch/course you are analysing.
Why do I get an error?
If variable cost ≥ fee, each student loses money and no enrolment level covers fixed costs.
For developers & AI agents
The Break-Even Student Count Calculator is also available as a free, unauthenticated JSON API — no API key, no sign-up, CORS enabled for all origins. Send a GET request with the parameters below and receive the computed result as JSON, including the source of the format or formula used. Invalid input returns HTTP 400 with a JSON { "error": "..." } body.
GET https://knwdle.com/api/tools/break-even-student-count-calculator| Parameter | Required | Description |
|---|---|---|
fixedCosts | Yes | Total fixed costs for the period |
feePerStudent | Yes | Net fee per student |
variableCostPerStudent | No | Variable cost per student (default 0) |
Request:
GET https://knwdle.com/api/tools/break-even-student-count-calculator?fixedCosts=1500000&feePerStudent=40000&variableCostPerStudent=5000
Response:
{
"tool": "break-even-student-count-calculator",
"name": "Break-Even Student Count Calculator",
"source": "breakEvenStudents = ceil(fixedCosts ÷ (feePerStudent − variableCostPerStudent)). Requires positive contribution margin. Standard managerial accounting model.",
"fixedCosts": 1500000,
"feePerStudent": 40000,
"variableCostPerStudent": 5000,
"contributionMargin": 35000,
"breakEvenStudents": 43,
"steps": [
"Contribution margin = 40000 − 5000 = 35000",
"Break-even students = ceil(1500000 ÷ 35000) = 43"
]
}