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Price elasticity of demand on certain interval of graph = percentage of change of quantity demanded over interval / percentage of change of price over interval. Note: price elasticity is not the same as slope. Slope remains the same on a straight line graph but elasticity changes.
To calculate elasticity, we will use the average percentage change in both quantity and price. This is called the midpoint method for elasticity and is represented by the following equations: [latex]\displaystyle\text{percent change in quantity}=\frac{Q_2-Q_1}{(Q_2+Q_1)\div{2}}\times{100}[/latex]
The midpoint method uses the average or the midpoint between two data points to calculate the percent change in the price of a good and its percent change in quantity supplied or demanded. Those two values are then used to calculate the elasticity of supply and demand.
To calculate elasticity, instead of using simple percentage changes in quantity and price, economists sometimes use the average percent change in both quantity and price. This is called the Midpoint Method for Elasticity:
DEMAND ELASTICITY: MIDPOINT METHOD. Drag point A to change the starting price and quantity; drag point B to change the magnitudes of the price and quantity changes. This diagram shows the effect of a price increase of \color {#2ca02c}\Delta P = +10 ΔP =+10, from P_A = 35 P A = 35 to P_B = 45 P B = 45.
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28 lut 2024 · The midpoint formula is appreciated for its simplicity and unbiased approach, averaging percentage changes in price and quantity to calculate elasticity. It differs from methods like point elasticity, which is more precise for specific data points but less generalizable across different scenarios.
