\[TC=FC+VCQ\]

Variables

TCtotal cost (currency)
FCfixed cost (currency)
VCvariable cost per unit (currency/unit)
Qproduction quantity (units)

Description

What is this formula?


The Total Cost Function calculates the total cost of producing a given quantity of goods or services by combining fixed costs and variable costs.


Fixed costs remain constant regardless of production volume, while variable costs increase proportionally with output.


When to use it


Use this formula to estimate production costs, prepare budgets, perform profitability analysis, and support operational decision-making.


Example


A company manufactures electronic devices.


Data:


Fixed Cost = $50,000


Variable Cost per Unit = $12


Production Quantity = 8,000 units


Formula:


TC=FC+VCQ


Substitution:


TC=50,000+(12×8,000)


TC=146,000


Result:


Total Cost = $146,000


Applications


Cost accounting


Production planning


Budget preparation


Pricing analysis


Profitability studies


Managerial accounting


Note


This formula represents a simplified cost model that assumes a constant variable cost per unit and fixed costs that remain unchanged within the relevant operating range. In practice, economies of scale, step-fixed costs, and nonlinear cost behavior may require more advanced cost models.

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