Price Elasticity of Demand

By studying Law of demand, we know that demand of a commodity is greatly influenced by the its price.
We learnt that increase in the price of the commodity causes contraction in demand, while decrease in price causes extension in demand.

Thus, law of demand makes a qualitative statement only. It does not tell us about the magnitute/degree of change in quantity demanded in response to change in the price.
It only tells about the direction of change.
Degree of change in quantity demanded in response to change in the price is the subject matter of Elasticity of Demand. 
It makes a Quantitative statement.It tells us about the extent to which the demand responds to change in price.
While measuring the degree of change in demand we always consider percentage values, not the absolute values.

Price elasticity of demand is defined as a measurement of percentage in quantity demanded in response to a given change in own price of the commodity.

ep = Percentage change in quantity demanded
        Percentage change in price
(Where ep refers to price elasticity of demand)

Kinds of Price Elasticity of Demand :

There are five different kinds of price elasticity of Demand:

1) Perfectly Elastic Demand : 
A Perfectly Elastic Demand refers to a situation when demand is infinite at the prevailing price.
It is a situation where the slightest rise in the price causes the quantity demanded  of the commodity to fall to zero.
As shown in the figure below. DD is the perfectly elastic demand curve, parallel to X axis.

elastic demand
elastic demand
It shows that at Price Rs.4, quantity demanded may be 10,20, 30 or more units i.e. demand for the commodity is infinite. But if the price increased from Rs.4, the demand falls to zero.And at price lower than Rs.4 an infinitely large quantity is demanded.Cases of perfectly elastic demand curve is very rare.
  ep = ∞

2) Perfectly Inelastic Demand : 
A Perfectly Inelastic Demand refers to a situation when change in price causes no change in the quantity demanded.The elasticity of demand is zero.
As shown in the figure below. DD is the perfectly inelastic demand curve, parallel to Y axis.

inelastic demand
inelastic demand
When price is Rs.2, demand is for 4 units. When the price rises to Rs. 4 or Rs.6 quantity demanded remains constant at 4 units.Hence, elasticity of demand is zero. Cases of perfectly elastic demand curve are also rare.
ep = 0
3) Unitary  Elastic demand : 
When a given percentage change in the price of the commodity causes an equivalent percentage change in the quantity demanded, then the elasticity of demand is said to be unitary.
For example, if there is a 10% change in the price of the commodity (rise/fall), the quantity demanded will also change by 10% (rise/fall).
It is the situation when change in quantity demanded in response to change in own price of the commodity is such that total expenditure on the commodity remains constant.
As shown in the graph below, DD is the unitary elastic demand curve.

unitary demand
unitary demand
 When price is OP,quantity demanded is OB,total expenditure is area OBTP.
When price falls to OP1, quantity demanded rises to OC,total expenditure is area OCRP1.
Area OBTP = Area OCRP1, implying that total expenditure remains constant even after change in price of the commodity.
Gap BC is equal to PP1.
ep = 1

4) Elastic Demand / Greater than unitary elastic demand : 
When the percentage change in quantity demanded of a commodity exceeds the percentage change in its price, the elasticity of demand is greater than unitary.
For example, if there is a 10% change in the price of the commodity (rise/fall), the quantity demanded will change by 25% (rise/fall).
As shown in the graph below, DD is the elastic demand curve. The demand curve is flatter.

elastic demand
elastic demand
When price is OP, quantity demanded is OB,total expenditure is area OBTP.
When price falls to OP1, quantity demanded rises to OC, total expenditure is area OCRP1.
Area OCRP1 > Area OBTP, implying that total expenditure increases in response to decrease in price of the commodity.
Also the percentage increase in quantity demanded is more than the percentage fall in the price. Gap BC is more than PP1.
ep > 1
Flatter the demand curve, greater is the elasticity.

5) Inelastic Demand / Less than unitary elastic demand : 
When the percentage change in quantity demanded of a commodity is less the percentage change in its price, the elasticity of demand is less than unitary.
For example, if there is a 10% change in the price of the commodity (rise/fall), the quantity demanded will  change by 6% (rise/fall).
As shown in the graph below, DD is the inelastic demand curve.

inelastic demand
inelastic demand
When price is OP, quantity demanded is OB, total expenditure is area OBTP.
When price falls to OP1, quantity demanded rises to OC, total expenditure is area OCRP1.
Area OCRP1 < Area OBTP, implying that total expenditure reduced in response to fall in price of the commodity.
Also the percentage increase in quantity demanded is less than the percentage fall in the price. Gap BC is less than PP1.
ep < 1
Steeper the curve, less is the elasticity.

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