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Primary formula: incremental units served ร— (selling price per unit โˆ’ variable cost per unit) โˆ’ expansion period cost.

Educational only: Business decision support, not accounting, tax or legal advice.

Privacy: No account is required. Tool inputs and results stay in this browser. Anonymous categorical usage analytics send only governed page, tool, cluster and action identifiers; tool inputs and results are never sent. Error monitoring is disabled. Optional saved state stays only on this device.

Update policy: Reviewed when formulas or official dependencies change.

Scope: Market-neutral small-business planning using your own assumptions.

What this planner helps you decide

Best for

Operators allocating a genuinely constrained resource across competing products or services.

Outputs

Contribution per constrained unit, feasible mix, total contribution and unused capacity.

Start here

Define the bottleneck unit once, then enter demand and contribution assumptions for each option.

Use a different tool when: Do not use this to allocate scarce capacity to a profitable product mix; use Capacity-constrained Profit Mix Planner for that decision. Use this tool to choose the highest-contribution use of a constrained operating resource.

Profit & break-even

Capacity Constraint Profit: contribution per constrained unit

Contribution per constrained unit, feasible mix, total contribution and unused capacity.

Amounts use the same currency as your inputs. No currency conversion is performed.

Capacity Constraint Profit

Test whether a bounded capacity expansion serves enough constrained demand to recover its period cost and improve contribution.

Your numbers stay in this browser

Enter whole units of demand for the period.

Enter the maximum whole units the current operation can serve.

currency units

Enter revenue earned per served unit. Use one consistent ex-tax currency basis.

currency units

Enter cost avoided when one unit is not served. Use one consistent ex-tax currency basis.

Enter the whole additional units available in this scenario.

currency units

Enter the incremental cost attributable to this period. Use one consistent ex-tax currency basis.

Decision result

Review the operating threshold and incremental comparison on the same entered capacity, cost and demand basis.

Preparing export actionsโ€ฆ
Units served before expansion
100 units
Constrained demand units
50 units
Units served after expansion
130 units
Incremental units served
30 units
Incremental contribution
260.00
Expansion break-even units
9 units

Scenario comparison

Each row names the assumption axis changed from the baseline.

ScenarioResultDifference
Entered scenario260.00Baseline
Lower Capacity expansion units224.00-36.00
Higher Capacity expansion units296.0036.00

Save these results, change an input, then compare the updated figures with this baseline.

The baseline is temporary in this tab and is not added to shared scenario links or generated reports.

Calculation details

View calculation detailsView the formulas and inputs used for these results.

Units served before expansion

Units served before expansionmin(demand units, current capacity units)100 units
Result100 units

Uses the exact shared engine result and only the entered market-neutral operating assumptions. The engine retains raw precision; display formatting does not feed calculation.

Capacity Constraint Profit Planner formulas โ†’
Inputs used by these formula steps
Units served before expansionDemand Units
150
Units served before expansionCurrent Capacity Units
100
Units served before expansionSelling Price Per Unit
20
Units served before expansionVariable Cost Per Unit
8
Units served before expansionCapacity Expansion Units
30
Units served before expansionExpansion Period Cost
100

Constrained demand units

Constrained demand unitsmax(0, demand units โˆ’ current capacity units)50 units
Result50 units

Uses the exact shared engine result and only the entered market-neutral operating assumptions. The engine retains raw precision; display formatting does not feed calculation.

Capacity Constraint Profit Planner formulas โ†’
Inputs used by these formula steps
Constrained demand unitsDemand Units
150
Constrained demand unitsCurrent Capacity Units
100
Constrained demand unitsSelling Price Per Unit
20
Constrained demand unitsVariable Cost Per Unit
8
Constrained demand unitsCapacity Expansion Units
30
Constrained demand unitsExpansion Period Cost
100

Units served after expansion

Units served after expansionmin(demand units, current capacity units + capacity expansion units)130 units
Result130 units

Uses the exact shared engine result and only the entered market-neutral operating assumptions. The engine retains raw precision; display formatting does not feed calculation.

Capacity Constraint Profit Planner formulas โ†’
Inputs used by these formula steps
Units served after expansionDemand Units
150
Units served after expansionCurrent Capacity Units
100
Units served after expansionSelling Price Per Unit
20
Units served after expansionVariable Cost Per Unit
8
Units served after expansionCapacity Expansion Units
30
Units served after expansionExpansion Period Cost
100

Incremental units served

Incremental units servedunits served after expansion โˆ’ units served before expansion30 units
Result30 units

Uses the exact shared engine result and only the entered market-neutral operating assumptions. The engine retains raw precision; display formatting does not feed calculation.

Capacity Constraint Profit Planner formulas โ†’
Inputs used by these formula steps
Incremental units servedDemand Units
150
Incremental units servedCurrent Capacity Units
100
Incremental units servedSelling Price Per Unit
20
Incremental units servedVariable Cost Per Unit
8
Incremental units servedCapacity Expansion Units
30
Incremental units servedExpansion Period Cost
100

Incremental contribution

Incremental contributionincremental units served ร— (selling price per unit โˆ’ variable cost per unit) โˆ’ expansion period cost260.00
Result260.00

Uses the exact shared engine result and only the entered market-neutral operating assumptions. The engine retains raw precision; display formatting does not feed calculation.

Capacity Constraint Profit Planner formulas โ†’
Inputs used by these formula steps
Incremental contributionDemand Units
150
Incremental contributionCurrent Capacity Units
100
Incremental contributionSelling Price Per Unit
20
Incremental contributionVariable Cost Per Unit
8
Incremental contributionCapacity Expansion Units
30
Incremental contributionExpansion Period Cost
100

Expansion break-even units

Expansion break-even unitsceiling(expansion period cost / contribution per served unit), when contribution is positive9 units
Result9 units

Uses the exact shared engine result and only the entered market-neutral operating assumptions. The engine retains raw precision; display formatting does not feed calculation.

Capacity Constraint Profit Planner formulas โ†’
Inputs used by these formula steps
Expansion break-even unitsDemand Units
150
Expansion break-even unitsCurrent Capacity Units
100
Expansion break-even unitsSelling Price Per Unit
20
Expansion break-even unitsVariable Cost Per Unit
8
Expansion break-even unitsCapacity Expansion Units
30
Expansion break-even unitsExpansion Period Cost
100

Inputs used

Demand units
150
Current capacity units
100
Selling price per unit
20
Variable cost per unit
8
Capacity expansion units
30
Expansion cost for the period
100
Open this calculator with preset values

This calculator supports documented, shareable scenario URLs. Compatible assistants and applications can construct links using the parameters below.

Scenario links contain only allowlisted numeric and closed-choice inputs shown in the URL; Margin101 excludes free text and identifying fields. Anyone you share the URL with can read those numbers, so do not include private or identifying data.

Example: https://margin101.com/tools/capacity-constraint-profit/?sv=1&capacityExpansionUnits=30&currentCapacityUnits=100&demandUnits=150&expansionPeriodCost=100&sellingPricePerUnit=20&variableCostPerUnit=8

ParameterMeaningUnitAllowed valuesPresenceDefault
capacityExpansionUnitsEnter the whole additional units available in this scenario.units/period0 to 100000000Required30
currentCapacityUnitsEnter the maximum whole units the current operation can serve.units/period0 to 100000000Required100
demandUnitsEnter whole units of demand for the period.units/period0 to 100000000Required150
expansionPeriodCostEnter the incremental cost attributable to this period. Use one consistent ex-tax currency basis.currency units/decision period, ex tax0 to 10000000Required100
sellingPricePerUnitEnter revenue earned per served unit. Use one consistent ex-tax currency basis.currency units/unit, ex tax0 to 10000000Required20
variableCostPerUnitEnter cost avoided when one unit is not served. Use one consistent ex-tax currency basis.currency units/unit, ex tax0 to 10000000Required8

Capacity Constraint Profit: contribution per constrained unit

Contribution per bottleneck unit is useful only when the entered resource is the actual constraint.

Formula summary

Primary formula
incremental units served ร— (selling price per unit โˆ’ variable cost per unit) โˆ’ expansion period cost.

Read the full methodology

Data used here

  • The estimate uses your inputs and the general business formula documented in the methodology.

Decision checks

Act on the result

Allocate the scarce resource to the highest valid contribution while respecting demand limits.

Stress-test the decision

Retest lower demand, higher unit cost and a different bottleneck.

When this estimate can be misleading

  • Volumes, rates, capacity, time, costs and contribution are your records or scenarios; no benchmark or demand forecast is embedded.
  • Keep all money and operating records on one consistent ex-tax basis and decision period.
  • Incremental comparisons exclude disclosed sunk cost and do not guarantee demand, delivery capacity or a commercial outcome.
  • This is educational business decision support, not accounting, tax, legal or financial advice.
  • Contribution per bottleneck unit is useful only when the entered resource is the actual constraint.

Educational estimate, not advice. See all assumptions & limitations โ†’

Guides to interpret the decision and its assumptions.

Frequently asked questions

How do I choose the highest-contribution use of a constrained operating resource?

Allocate the scarce resource to the highest valid contribution while respecting demand limits.

Which planning assumptions should I stress-test?

Compare a plausible alternative scenario and verify the decision-critical assumption that changes the plan most.