In: Economics
Based on the following information, is this good price elastic or price inelastic and is it income elastic or income inelastic. Explain your answer
|
Quantity demanded |
|
|
Price $50 |
20,000 |
|
Price $75 |
10,000 |
|
Income $30,000 |
20,000 |
|
Income $60,000 |
30,000 |
Price Elasticity of Demand
| Price | Quantity Demand |
| $50 | 20000 |
| $75 | 10000 |
Elasticity of demand = % change in Quantity demand / % change in price
% change in Quantity Demand = Change in demand / initial demand x 100
% change in Quantity Demand = -10000 / 20000 x 100
% change in Quantity Demand = -50
% change in price = Change in Price / Initial price x 100
% change in price = 25 / 50 x 100
% change in price = 50
Elasticity of demand = % change in Quantity demand / % change in price
Elasticity of demand = -50 / 50
Elasticity of demand = 1
Negative sign is ignored in price elasticity of demand because of inverse relationship between price and demand.
Price elasticity of demand is unitary
Income Elasticity of Demand
| Income | Quantity Demand |
| $30000 | 20000 |
| $60000 | 30000 |
Elasticity of demand = % change in Quantity demand / % change in Income
% change in Quantity Demand = Change in demand / initial demand x 100
% change in Quantity Demand = 10000 / 20000 x 100
% change in Quantity Demand = 50
% change in Income = Change in Income / initial Income x 100
% change in Income = 30000 / 30000 x 100
% change in Income = 100
Elasticity of demand = % change in Quantity demand / % change in Income
Elasticity of demand = 50 / 100
Elasticity of demand = 0.5
As the income elasticity of demand is positive hence goods are normal as there is a direct relationship between price and income in normal goods