Determining and interpreting elasticities of demand
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In Qx = 3-0.5 in Px - 2.5 In Py + lnM + 2lnA
ln being natural log
Where
Px = $10
Py = $4
M = $20,000
A - $250
a) Determine the own price elasticity of demand and state whether demand is elastic, inelastic or unitary elastic
b) Determine the cross price elasticity of demand between good X and good Y and state whether these two goods are substitutes or compliments
c) Determine the income elasticity of demand state whether good X is normal or inferior
d) Determine the own advertising elasticity of demand
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Solution Summary
Solution describes the steps for calculating own price elasticity, cross price elasticity, income elasticity and advertising elasticity of demand for a given natural logarithm function. It also predicts the nature of related good and nature of given demand based upon elasticities.
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Solution:
a) Determine the own price elasticity of demand and state whether demand is elastic, inelastic or unitary elastic
In Qx = 3-0.5 in Px - 2.5 In Py + lnM + 2lnA
Differentiating with respect to Px both sides we get
(1/Qx) *d(Qx)/dPx=-0.5*(1/Px)
dQx/dPx=-0.5*Qx/Px
We Know, Own price elasticity of demand=(dQx/dPx)*(Px/Qx)
=-0.5*(Qx/Px)*(Px/Qx)=-0.5
Absolute value of own ...
Education
- BEng (Hons) , Birla Institute of Technology and Science, India
- MSc (Hons) , Birla Institute of Technology and Science, India
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