(a) What is price elasticity of demand? (b) With carefully labeled diagrams, illustrate each of the following: (i) perfectly inelastic demand (ii) unitary e...
(a) What is price elasticity of demand? (b) With carefully labeled diagrams, illustrate each of the following: (i) perfectly inelastic demand (ii) unitary elastic demand (iii) fairly elastic demand (iv) perfectly elastic demand.
(a) Meaning of price elasticity of demand
Price elasticity of demand is the degree of responsiveness of quantity demanded to a change in the price of a commodity, other factors remaining constant. It is measured as:
\[E_d=\frac{\%\text{ change in quantity demanded}}{\%\text{ change in price}}\]
(b) Diagrams of types of price elasticity of demand
(i) Perfectly inelastic demand: Quantity demanded remains unchanged whatever the change in price. Thus, \(E_d=0\), and the demand curve is vertical.
The vertical demand curve D shows that quantity demanded remains at Qd = 4 as price changes.
(ii) Unitary elastic demand: The percentage change in quantity demanded is exactly equal to the percentage change in price. Thus, \(E_d=1\). The demand curve is a rectangular hyperbola, so that total expenditure, \(P\times Q\), remains constant at every point on the curve.
The rectangular-hyperbola demand curve D has P × Qd = 120 at each plotted point.
(iii) Fairly elastic demand: A small percentage change in price causes a more than proportionate percentage change in quantity demanded. Thus, \(E_d>1\). The demand curve is relatively flat.
The relatively flat downward-sloping demand curve D represents fairly elastic demand.
(iv) Perfectly elastic demand: At a given price, consumers will buy any quantity, but a slight increase in price reduces quantity demanded to zero. Thus, \(E_d=\infty\), and the demand curve is horizontal.
The horizontal demand curve D shows that any quantity is demanded at the fixed price P = 50.
Price elasticity of demand is the degree of responsiveness of quantity demanded to a change in the price of a commodity, other factors remaining constant. It is measured as:
\[E_d=\frac{\%\text{ change in quantity demanded}}{\%\text{ change in price}}\]
(b) Diagrams of types of price elasticity of demand
(i) Perfectly inelastic demand: Quantity demanded remains unchanged whatever the change in price. Thus, \(E_d=0\), and the demand curve is vertical.
The vertical demand curve D shows that quantity demanded remains at Qd = 4 as price changes.
(ii) Unitary elastic demand: The percentage change in quantity demanded is exactly equal to the percentage change in price. Thus, \(E_d=1\). The demand curve is a rectangular hyperbola, so that total expenditure, \(P\times Q\), remains constant at every point on the curve.
The rectangular-hyperbola demand curve D has P × Qd = 120 at each plotted point.
(iii) Fairly elastic demand: A small percentage change in price causes a more than proportionate percentage change in quantity demanded. Thus, \(E_d>1\). The demand curve is relatively flat.
The relatively flat downward-sloping demand curve D represents fairly elastic demand.
(iv) Perfectly elastic demand: At a given price, consumers will buy any quantity, but a slight increase in price reduces quantity demanded to zero. Thus, \(E_d=\infty\), and the demand curve is horizontal.
The horizontal demand curve D shows that any quantity is demanded at the fixed price P = 50.