Question
Consider the demand curve D(p) = 10 – 3p. What is the elasticity at price $\frac{5}{3}?$

Answer

D(p) = 10 – 3p

$\text{b}=\triangle\text{Q}/\triangle\text{P}=3$

p = 5/3 or D(5/3) = 10 – 3 × 5/3

Q = 10 – 5 = 5

$^{\text{e}}\text{d}=\frac{\triangle\text{Q}}{\triangle\text{P}}\times\frac{\text{P}}{\text{Q}}$

= -3 × (5/3)/5

ed = –1

i.e., the elasticity of demand at price p = 5/3 unitary elastic.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The price elasticity of supply of commodity Y is half the price elasticity of supply of commodity X. 16 percent rise in the price of  X results in a 40 percent rise in its supply. If the price of y falls by 8 percent, calculate the percentage fall in its supply.
Define investment multiplier. Explain the relationship between marginal propensity to save and investment multiplier.
From the following data calculate net national product at factor cost by (a) income method (b) expenditure method:
    (Rs. in crores)
1 Current transfers from rest of the worth. 100
2 Government final consumption expenditure. 1,000
3 Wages and salaries. 3,800
4 Dividend. 500
5 Rent. 200
6 Interest. 150
7 Net domestic capital formation. 500
8 Profits. 800
9 Employers' contribution to social security schemes. 200
10 Net exports. (-)50
11 Net factor income from abroad. (-)30
12 Consumption of fixed capital. 40
13 Private final consumption expenditure. 4,000
14 Net indirect tax. 300
Explain with the help of diagram the effect of the following changes on the demand of a commodity.
  1. An unfavorable change in the taste of the buyer for the commodity.
  2. A fall in the income of the buyer, if the commodity is inferior.
Explain with the help of diagrams, the effect of the following changes on the demand of a commodity:
  1. A fall in price of Substitute good.
  2. A fall in price of Complementary good.
Define double counting. How can the problem of double counting be avoided?
At a price of 5 per unit of a commodity A, Total Revenue is ₹ 800. When its price rises by 20%, Total Revenue increases by ₹ 400. Calculate its Price Elasticity of Supply.
A seller sells 3 diamond rings of ₹ 15000 each. If a seller sells his 4th diamond ring, his MR becomes ₹ 13500. Calculate the price at which the seller sells his fourth ring.
When the price of a commodity falls by ₹ 2 per unit, its quantity demanded increases by 10 units. Its price elasticity of demand is (-)1. Calculate its quantity demanded at the price before change which was ₹ 10 per unit.