price elasticities are always negative hence brings ambiguities in the demand curve
Price elasticity of demand is equal to the instantaneous slope of the demand curve, or the slope of the tangent line at any point on the demand curve. So if the demand curve is represented by a straight downward sloping line, then yes, price elasticity of demand is equal to the slope of the demand curve. Otherwise, the slope at any point on the curve is changing, and you can find the it by taking the derivative of the demand curve function, which will find the Price elasticity of demand at any single point. Thus, the Price Elasticity of Demand changes at different points on the demand curve.
explain why the price elasticity of demand varies along a demand curve, even if the demand curve is linear.
Because elasticity is changes depending on the price it is evaluated at. This will then mean that elasticity is different at different point on a demand curve. It can also depend on the scale the demand curve is drawn to
Along a linear demand curve elasticity varies from point to point of the demand curve with respect to different price, but slope is constant
Elasticity is not solely determined by the slope of the demand curve because elasticity also considers the responsiveness of quantity demanded to price changes. The slope of the demand curve only shows the relationship between price and quantity demanded, but elasticity takes into account the percentage change in quantity demanded relative to the percentage change in price. This means that elasticity provides a more accurate measure of how sensitive consumers are to price changes compared to just looking at the slope of the demand curve.
Price elasticity of demand is equal to the instantaneous slope of the demand curve, or the slope of the tangent line at any point on the demand curve. So if the demand curve is represented by a straight downward sloping line, then yes, price elasticity of demand is equal to the slope of the demand curve. Otherwise, the slope at any point on the curve is changing, and you can find the it by taking the derivative of the demand curve function, which will find the Price elasticity of demand at any single point. Thus, the Price Elasticity of Demand changes at different points on the demand curve.
explain why the price elasticity of demand varies along a demand curve, even if the demand curve is linear.
Because elasticity is changes depending on the price it is evaluated at. This will then mean that elasticity is different at different point on a demand curve. It can also depend on the scale the demand curve is drawn to
Along a linear demand curve elasticity varies from point to point of the demand curve with respect to different price, but slope is constant
Elasticity is not solely determined by the slope of the demand curve because elasticity also considers the responsiveness of quantity demanded to price changes. The slope of the demand curve only shows the relationship between price and quantity demanded, but elasticity takes into account the percentage change in quantity demanded relative to the percentage change in price. This means that elasticity provides a more accurate measure of how sensitive consumers are to price changes compared to just looking at the slope of the demand curve.
point method
on the linear demand curve, demand is elastic at price above the point of unitary elasticity so a price increase will decrease the total revenue.
Price elasticity is a specific type of slope of the demand curve. A perfectly inelastic demand means that the quantity will not change with the price. This line is perfectly vertical. A perfectly elastic demand curve is horizontal and means that at any given quantity, there is only one price. Also, a slope gets steeper, demand becomes more inelastic.
A perfectly inelastic demand curve will be completely horizontal and means that consumers would any price for a particular good, which is almost impossible. The closer to being horizontal a demand curve is, the more inelastic the demand.
To determine elasticity on a graph, you can look at the slope of the curve. If the curve is steep, it indicates inelasticity, while a flatter curve suggests elasticity. Additionally, the price elasticity of demand can be calculated by dividing the percentage change in quantity demanded by the percentage change in price.
show how the price elasticity of demand is graphically measured along a liner demand curve?
Elasticity varies along a straight-line demand curve by being different at different points. At the top of the curve, elasticity is more elastic, meaning small changes in price lead to larger changes in quantity demanded. At the bottom of the curve, elasticity is less elastic, meaning changes in price have less impact on quantity demanded.