Explain me geometric method of elasticity of demand
The Geometric method measures the elasticity of demand at different points on the demand curve and is also known as the Point method of measuring the elasticity of demand.
Let us consider the figure given below, where AB is a demand curve. C is the specific point on the demand curve. It divides the demand curve into two segments, upper segment CA and lower segment CB. Elasticity of demand at point C is the ratio between lower segment and upper segment.
ed= CB (lower segment from C) / CA (Upper segment from C)
The elasticity of demand at different points on a straight line demand curve can be derived by this method.
Elasticity is zero at point B of the demand curve, where the demand curve touches the x-axis.
ed= 0/BA
ed= 0
Elasticity is infinity at point A of the demand curve, where the demand curve touches the y-axis.
ed= BA/0
ed= 0
Elasticity is unity at the mid-point C of the demand curve, where the lower segment is equal to the upper segment of the demand curve.
ed= CB/CA
ed= 1
Elasticity is greater than unity at any point (L) to the left of the mid-point of the demand curve.
ed= LB/LA
ed> 1
Elasticity is less than unity at any point (M) to the right of the mid-point of the demand curve.
ed= MB/MA
ed< 1
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Explain me geometric method of elasticity of demand
Geometric Method of Elasticity of Demand
The geometric method is a graphical approach used to measure elasticity of demand. It involves plotting the demand curve on a graph and analyzing the slope or steepness of the curve to determine the elasticity of demand at different price points. This method helps to understand how responsive the quantity demanded is to changes in price.
Understanding Elasticity of Demand
Elasticity of demand measures the responsiveness of quantity demanded to changes in price. It can be categorized into three types: elastic, inelastic, and unitary elastic.
- Elastic demand: When the percentage change in quantity demanded is greater than the percentage change in price, demand is considered elastic. In this case, the demand curve is relatively flat.
- Inelastic demand: When the percentage change in quantity demanded is less than the percentage change in price, demand is considered inelastic. In this case, the demand curve is relatively steep.
- Unitary elastic demand: When the percentage change in quantity demanded is equal to the percentage change in price, demand is unitary elastic. In this case, the demand curve has a moderate slope.
Plotting the Demand Curve
To apply the geometric method, we need to plot the demand curve on a graph. The vertical axis represents the price, while the horizontal axis represents the quantity demanded. By connecting the points, we obtain the demand curve.
Calculating Elasticity of Demand using the Geometric Method
To determine the elasticity of demand at a specific price point, we analyze the slope of the demand curve.
- Elastic demand: If the slope of the demand curve is relatively flat, it indicates elastic demand. The elasticity of demand is greater than 1.
- Inelastic demand: If the slope of the demand curve is relatively steep, it indicates inelastic demand. The elasticity of demand is less than 1.
- Unitary elastic demand: If the slope of the demand curve has a moderate slope, it indicates unitary elastic demand. The elasticity of demand is equal to 1.
Interpreting the Results
The elasticity of demand provides valuable insights into consumer behavior and market dynamics. Understanding the elasticity helps businesses make informed pricing decisions and predict changes in demand based on price fluctuations.
- Elastic demand: When demand is elastic, a decrease in price will lead to a proportionally larger increase in quantity demanded. This suggests that consumers are price-sensitive, and a small change in price can significantly impact demand.
- Inelastic demand: When demand is inelastic, a change in price will result in a proportionally smaller change in quantity demanded. This indicates that consumers are less responsive to price changes, and demand remains relatively stable.
- Unitary elastic demand: When demand is unitary elastic, a change in price will result in an equal percentage change in quantity demanded. This implies that consumers' response to price changes is proportional, maintaining the same revenue for the seller.
By employing the geometric method of elasticity of demand, businesses can make more informed decisions regarding pricing strategies, production levels, and revenue projections.