Economics (NCERT) Notes

2.13 Elasticity Demand Curve

Elasticity along a Linear Demand Curve

Let a linear demand curve be
q = a – bp.
•At any point on the demand curve, the change in demand per unit change in the price
= ∆q/ ∆p =-b
•Price elasticity of demand for a good eD = (∆Q/Q)/ (∆P/P)
•Hence, eD =-b.p/q
Putting the value of q
eD =-b.p/(a – bp)
•We know eD =-b.p/(a – bp)
Thus the value of  eD is different for different points at the liner demand curve
At p=0  eD =0
At q=0, eD =
At p= a/2b, eD=1
At any price greater than 0 and less than a/2b, eD is less than 1
At any price greater than than a/2b, eD is greater than 1

Geometric Measure of Elasticity along a Linear Demand Curve

•The elasticity of demand at any point on a straight line demand curve is given by the ratio of the lower segment and the upper segment of the demand curve at that point.
•Suppose at price p0, the demand for the good is q0.
•With a small change, the new price is p1, and at that price, demand for the good is q1.
•∆ q = q1q0 = CD and
•∆ p = p1p0 = CE
eD = (∆q/q)/ (∆p/p)
•= (∆q/ ∆p)x(p/q)
•=(CD/CE)X(Op0/Oq0)
•=ECD and Bp0D are similar triangle
•Hence CD/CE=p0D/p0B
•But p0D/p0B = Oq0/p0B
•Hence eD = (Oq0/p0B)x(Op0/Oq0)
•=Op0 /p0B
•Since Bp0D, BOA and Dq0A are similar
Hence, eD = DA/DB
eD = DA/DB
•Elasticity is 0 at the point where the demand curve meets the horizontal axis
•It is ∞  at the point where the demand curve meets the vertical axis.
•At the midpoint of the demand curve (a/2b), the elasticity is 1,
•At any point to the left of the midpoint, it is greater than 1
•At any point to the right, it is less than 1

 Related Articles
 • 3.2 Inequality in Poverty • 2.3 The Problem of Unemployment • 2.2 Quality of Population • 2.1 People as Resource • 1.2 Increasing Agricultural Productivity • 5.4 Case Studies of Consumer Rights • 5.3 Consumer Protection Act • 5.1 Consumer Rights • 4.4 Impact of Globalization in India • 4.2 Foreign Trade and Integration of Markets
 Recent Articles
 • 4.1 Globalization and the Indian Economy • 3.2 Loans and Credit • 3.1 Money and Banking • 2.3 Organised and Unorganised Sector • 2.2 Employment Trends in India • 2.1 Sectors of the Indian Economy • 6.8 Behaviour of Firms in Oligopoly • 6.1 Non-competitive Markets • 5.8 Applications of Supply-Demand Analysis • 5.6 Market Equilibrium: Free Entry and Exit