Marginal Cost
\[MC=\frac{TC_2-TC_1}{Q_2-Q_1}\]

Variables

MCmarginal cost
TC1initial total cost
TC2final total cost
Q1initial quantity produced
Q2final quantity produced

Description

What is this formula?


Marginal Cost measures the additional cost incurred by producing one more unit of output.


It is one of the most important concepts in microeconomics because it helps firms determine optimal production levels and pricing decisions.


When to use it


Use this formula when analyzing production efficiency, cost behavior, profit maximization, and business decision-making.


Example


Initial production:


Q1 = 100 units


Final production:


Q2 = 120 units


Initial total cost:


TC1 = 5,000 USD


Final total cost:


TC2 = 5,600 USD


Formula:


MC = (TC2−TC1)/(Q2−Q1)


Substitution:


MC = (5600−5000)/(120−100)


MC = 600/20


MC = 30 USD/unit


Result:


Each additional unit produced costs approximately 30 USD.


Applications


- Production planning

- Profit maximization

- Cost analysis

- Managerial economics

- Pricing decisions


Note


This formula calculates marginal cost over a finite change in output and therefore represents an average marginal cost over the interval. In economic theory, marginal cost is often defined as the derivative of total cost with respect to output, but this discrete version is more practical for real-world business calculations.

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