High-Low Method Calculator - Fixed and Variable Cost
Estimate variable cost per activity unit and fixed cost from the highest and lowest observed activity levels and their total costs.
Enter two observations from the relevant range. The high-low method derives a linear mixed-cost equation and estimates cost at the midpoint.
High-Low Method Calculator - Fixed and Variable Cost
Estimate variable cost per activity unit and fixed cost from the highest and lowest observed activity levels and their total costs.
About the High-Low Cost Method
The high-low method separates a mixed cost into estimated fixed and variable components using two observations: the highest and lowest activity levels in a data set. It is a fast managerial-accounting technique for building a linear cost equation when a detailed regression is unavailable. The estimated equation is total cost equals fixed cost plus variable cost per activity unit multiplied by activity.
First calculate the variable rate by subtracting low-point cost from high-point cost and dividing by the difference in activity. If cost is $5,000 at 1,000 units and $2,000 at 200 units, the rate is $3,000 divided by 800, or $3.75 per unit. Then substitute either observation into the cost equation. At the high point, fixed cost equals $5,000 minus $3.75 times 1,000, which is $1,250.
The method selects points by activity, not by cost. The highest-cost month is not necessarily the highest-activity month, and using it simply because cost is large can distort the estimate. Both observations should fall inside the same relevant range, where capacity, staffing, pricing, and operating process are reasonably stable. A step cost or plant expansion between the points violates that assumption.
High-low is useful for preliminary budgets, contribution analysis, make-or-buy discussions, and quick reasonableness checks. Its main weakness is that it discards every middle observation. Either endpoint may contain abnormal overtime, shutdowns, maintenance, weather effects, discounts, or data errors. A scatterplot and least-squares regression usually provide a stronger estimate when enough reliable observations are available.
A negative fixed-cost estimate or negative variable rate is mathematically possible but often signals unsuitable points, inconsistent cost classification, or nonlinearity. Investigate rather than automatically treating it as an economic fact. Match the activity driver to the cost: machine hours may explain power better than units, while delivery miles may explain fuel better than orders. Use the result only within the observed relevant range and update it when prices, productivity, capacity, or operating conditions change.
High-Low Method Examples
Each example derives a variable rate before solving for fixed cost.
| High and Low Observations | Cost Equation Inputs | Calculation |
|---|---|---|
| High: 1,000 units, $5,000; low: 200 units, $2,000 | $3.75 per unit; $1,250 fixed | The $3,000 cost change is divided by 800 units. |
| High: 100 hours, $1,000; low: 20 hours, $200 | $10.00 per hour; $0 fixed | This two-point example behaves as a purely variable cost. |
| High: 8,000 miles, $9,000; low: 3,000 miles, $5,000 | $0.80 per mile; $2,600 fixed | Substituting either point produces the same fitted fixed component. |
How to Apply the High-Low Method
- Identify the observations with the highest and lowest activity, not simply the highest and lowest cost.
- Enter both activity levels and their corresponding total costs, plus an optional activity-unit label.
- Select Calculate to estimate variable cost, fixed cost, activity range, and midpoint cost.
- Plot or review all observations and use the equation only within a stable relevant range.
High-Low Method FAQ
Why does the method use activity rather than cost extremes?
The slope measures cost change per unit of activity. Endpoints must therefore be chosen by the independent activity driver, not by the highest and lowest costs.
What does fixed cost represent?
It is the fitted intercept: estimated total cost at zero activity under the linear equation. It may not describe an attainable operating state.
Can fixed cost be negative?
The arithmetic can produce a negative intercept. That commonly indicates outliers, nonlinearity, or observations from different relevant ranges.
Is high-low better than regression?
Usually not when reliable data are available. Regression uses all observations and provides diagnostics, while high-low is a quick two-point approximation.