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
point method
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
point method
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.
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.
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.
show how the price elasticity of demand is graphically measured along a liner demand curve?
If the cost of supply falls for each unit of supply (a shift of the supply curve right), the change in price depends on the price elasticity of demand: Price is unchanged when price elasticity of demand is infinite. Price falls when price elasticity of demand is less than infinite.
i) "If the demand curve is vertical, elasticity is zero"Price Elasticity of Demand captures the shift in demand for rises in prices in percentage terms. Therefore if a commodity is such that no matter what price the producer charges the consumer has no alternative but to buy it, then for any price the demand for that commodity remains unaltered, maybe an example is a monopolist salt producer. Therefore the demand curve must be vertical, no matter what the price the quantity demanded is same, hence the price elasticity is zero.
The point method measure price elasticity of demand at different point on a demand curve .