Marginal Revenue
\[MR=\frac{TR_2-TR_1}{Q_2-Q_1}\]

Variables

MRmarginal revenue
TR1initial total revenue
TR2final total revenue
Q1initial quantity sold
Q2final quantity sold

Description

What is this formula?


Marginal Revenue measures the additional revenue generated by selling one more unit of output.


It is a fundamental concept in microeconomics and plays a central role in profit-maximization decisions.


When to use it


Use this formula when analyzing pricing strategies, production decisions, market structure, and firm profitability.


Example


Initial sales quantity:


Q1 = 100 units


Final sales quantity:


Q2 = 120 units


Initial total revenue:


TR1 = 4,000 USD


Final total revenue:


TR2 = 4,700 USD


Formula:


MR = (TR2−TR1)/(Q2−Q1)


Substitution:


MR = (4700−4000)/(120−100)


MR = 700/20


MR = 35 USD/unit


Result:


Each additional unit sold generates approximately 35 USD of additional revenue.


Applications


- Profit maximization

- Pricing strategy

- Market analysis

- Revenue forecasting

- Business decision-making


Note


This formula calculates marginal revenue over a finite interval and therefore represents an average marginal revenue between two production levels. In economic theory, marginal revenue is often defined as the derivative of total revenue with respect to quantity, but this discrete form is more suitable for practical calculations.

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