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Target profit

Target profit analysis extends break-even analysis by asking how many units must be sold to cover all costs and earn a specific profit goal.

ByHoang TruongUpdated

FrameworkCost-volume-profit (CVP) analysis

See it move

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A stacked bar shows the two obligations that contribution margin must cover: fixed costs of €60,000 and a target profit of €30,000, totalling required contribution of €90,000. Dividing that total by a contribution margin of €15 per unit gives the target-profit volume of 6,000 units. Including the profit goal in the numerator is what distinguishes a target-profit calculation from a simple break-even calculation.

Where it fits
SubjectCost AccountingCoreTopicCost-Volume-Profit AnalysisCore

The formula

LaTeX
Q=FC+πCMQ^* = \frac{FC + \pi}{CM}

Variables

Units required to achieve the target profit (units)
Total fixed costs for the period ()
Target profit for the period ()
Contribution margin per unit (selling price minus variable cost per unit) (€ per unit)

Extends break-even analysis by adding the profit target to the numerator; break-even is the special case where π = 0.

LaTeX
REV=FC+πCMRREV^* = \frac{FC + \pi}{CMR}

Variables

Revenue required to achieve the target profit ()
Contribution margin ratio (contribution margin ÷ selling price) (decimal)

Revenue-based version; used when contribution margin ratio is known rather than the per-unit margin.

Check yourself

PracticeCORE

A software firm sells licences at €20 each with variable costs of €4 per licence. Fixed costs total €48,000 and the profit target is €20,000. How many licences must the firm sell to reach this target?

Select an answer to check your understanding.
Target Profit — CVP Sales Formula