Income Elasticity 2C4690
1. **Problem Statement:**
Judy's income increased from 130 to 170 per week. Her demand for concert tickets increased by 15%, and her demand for bus rides decreased by 10%. We need to calculate Judy's income elasticity of demand for:
a. Concert tickets
b. Bus rides
2. **Formula for Income Elasticity of Demand:**
Income elasticity of demand (E) is calculated as:
$$E = \frac{\% \text{ change in quantity demanded}}{\% \text{ change in income}}$$
3. **Calculate the percentage change in income:**
$$\% \text{ change in income} = \frac{170 - 130}{130} \times 100 = \frac{40}{130} \times 100 \approx 30.77\%$$
4. **Calculate income elasticity for concert tickets:**
Given demand increased by 15%,
$$E_{concert} = \frac{15}{30.77} \approx 0.49$$
Since $E_{concert} > 0$, concert tickets are a normal good.
5. **Calculate income elasticity for bus rides:**
Given demand decreased by 10%,
$$E_{bus} = \frac{-10}{30.77} \approx -0.32$$
Since $E_{bus} < 0$, bus rides are an inferior good.
**Final answers:**
- Income elasticity of demand for concert tickets is approximately $0.49$.
- Income elasticity of demand for bus rides is approximately $-0.32$.