Marginal revenue and price elasticity of demand are vital concepts in economics that help businesses and policymakers make informed decisions about pricing and revenue optimization. In this article, we will explore these concepts in a straightforward and accessible manner, shedding light on their significance and relationship.
Elastic Demand:
When the Price Elasticity of Demand is greater than 1, demand is considered elastic. In this case, a small change in price leads to a proportionally larger change in quantity demanded. Consumers are highly responsive to price variations, and a price decrease would result in a significant increase in total revenue.Inelastic Demand:
If the Price Elasticity of Demand is less than 1, demand is inelastic. Here, changes in price cause proportionally smaller changes in quantity demanded. Consumers are less responsive to price fluctuations, and a price decrease would lead to a relatively smaller increase in total revenue.Unitary Elastic Demand:
When the Price Elasticity of Demand is exactly 1, demand is unitary elastic. In this scenario, changes in price result in equal percentage changes in quantity demanded. Total revenue remains constant as price changes.Marginal Revenue vs. Marginal Cost | ||
Aspect | Marginal Revenue (MR) | Marginal Cost (MC) |
Definition | Additional revenue from one more unit sold | Additional cost to produce one more unit |
Calculation | ΔTR / ΔQ (Change in Total Revenue / Change in Quantity) | ΔTC / ΔQ (Change in Total Cost / Change in Quantity) |
Relationship to Quantity | MR decreases with increased output | MC typically increases with increased output |
Decision-making | Firms aim to produce where MR = MC | Firms optimize profit at the point where MR = MC |
Profit Maximization | Occurs when MR equals or exceeds MC | Achieved when MR equals MC |
Impact on Production | Increase production if MR > MC | Decrease production if MR < MC |
Mathematical Expression:
The relationship between Marginal Revenue and Price Elasticity of Demand can be expressed as follows: MR = P x (1 + 1/PED) Where: MR represents the Marginal Revenue, P denotes the price of the product or service, and PED signifies the Price Elasticity of Demand.Explanation:
The relationship between Marginal Revenue and Price Elasticity of Demand can be understood by three scenarios given below:Elastic Demand (PED > 1):
When demand is elastic (PED > 1), the percentage change in quantity demanded is more significant than the percentage change in price. In this case, the term "1 + 1/PED" is greater than 1. Consequently, Marginal Revenue (MR) becomes positive, indicating that an increase in output will lead to a rise in total revenue. For firms facing elastic demand, reducing prices can result in a larger increase in the quantity sold, compensating for the lower price per unit and boosting overall revenue.Inelastic Demand (PED < 1):
In contrast, when demand is inelastic (PED < 1), the percentage change in quantity sought is smaller than the percentage change in price. Here, the term "1 + 1/PED" is less than 1, causing Marginal Revenue (MR) to be negative. A reduction in output will lead to a decrease in total revenue. For firms with products facing inelastic demand, raising prices might lead to higher total revenue due to consumers' relatively unresponsive behavior to price changes.Unitary Elastic Demand (PED = 1):
When demand is unitary elastic (PED = 1), the percentage change in quantity demanded is exactly equal to the percentage change in price. In this case, the term "1 + 1/PED" equals 1, rendering Marginal Revenue (MR) to be zero. Unitary elastic demand signifies that revenue remains constant as price changes. For firms operating under unitary elastic demand, adjusting prices won't affect total revenue.Mathematical Formula:
The mathematical formula for calculating Marginal Revenue is given below: MR = ΔTR / ΔQ Where: MR represents the Marginal Revenue, ΔTR denotes the change in Total Revenue, and ΔQ signifies the change in the quantity of output.