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Price Elasticity of Demand vs Total Revenue Test

Price Elasticity of Demand and Total Revenue Test are two Elasticity concepts in AP Economics that students often mix up. In short: price elasticity of demand is price elasticity of demand measures how responsive quantity demanded is to a change in the good's price. Meanwhile, total revenue test is the total revenue test uses how total revenue responds to a price change to tell whether demand is elastic or inelastic. Here is how they compare side by side.

Price Elasticity of Demand

Price elasticity of demand measures how responsive quantity demanded is to a change in the good's price.

It is the percentage change in quantity demanded divided by the percentage change in price. Demand is elastic when the absolute value is greater than 1 and inelastic when it is less than 1. Goods with many substitutes, that take a large share of income, or judged over a longer time horizon tend to be more elastic.

PED = %Δ quantity demanded ÷ %Δ price. Midpoint method: %Δ = (Q₂ − Q₁) ÷ ((Q₁ + Q₂)/2). |PED| > 1 elastic, < 1 inelastic, = 1 unit elastic.
Total Revenue Test

The total revenue test uses how total revenue responds to a price change to tell whether demand is elastic or inelastic.

If cutting price raises total revenue, demand is elastic; if cutting price lowers total revenue, demand is inelastic. If total revenue is unchanged, demand is unit elastic. When demand is elastic, price and total revenue move in opposite directions.

Total revenue = Price × Quantity. Elastic: price and TR move oppositely; inelastic: same direction.

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