we know from total expenditure method of measuring elasticity of demand that if total expenditure remains the same when price changes, elasticity is unitary. rectangular hyperbola is a curve under which all rectangular areas are equal. also, each rectangular area shows total expenditure on the commodity. along the curve, even if price changes, total expenditure remains the same, so rectangular hyperbola shows the elasticity of 1.
Assuming that the given demand curve is a rectangular hyperbola, total expenditure (i.e. rectangular area or Q*P) is the same for each point on the length of the curve. Next we use the demand function to determine the total expenditure value as Q=1/P=>Q*P=1, and we have consequently a demand curve of unitary elasticity.
This is the curve which shows the unitary elastic demand where the change in quantity demanded equals with the change in price.
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.
we know from total expenditure method of measuring elasticity of demand that if total expenditure remains the same when price changes, elasticity is unitary. rectangular hyperbola is a curve under which all rectangular areas are equal. also, each rectangular area shows total expenditure on the commodity. along the curve, even if price changes, total expenditure remains the same, so rectangular hyperbola shows the elasticity of 1.
Assuming that the given demand curve is a rectangular hyperbola, total expenditure (i.e. rectangular area or Q*P) is the same for each point on the length of the curve. Next we use the demand function to determine the total expenditure value as Q=1/P=>Q*P=1, and we have consequently a demand curve of unitary elasticity.
This is the curve which shows the unitary elastic demand where the change in quantity demanded equals with the change in price.
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 negatively sloped linear curve
price elasticities are always negative hence brings ambiguities in the demand curve
AFC = (TFC/ Q). It looks like a hyperbola because fixed cost is spread over a larger range of output
The equilibrium of a firm depends with the elasticity of a demand curve.