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Multiple Choice
Johnny Clutch just got a raise from \$950 per week to \$1,050 per week. As a result, he increases the number of concerts he attends by five percent. His demand for concerts is:
A
Income elastic
B
Income inelastic
C
A horizontal line
D
A vertical line
Verified step by step guidance
1
Understand the concept of income elasticity of demand, which measures how the quantity demanded of a good responds to a change in income. It is calculated as the percentage change in quantity demanded divided by the percentage change in income.
Calculate the percentage change in Johnny's income. His income increased from \$950 to \$1,050 per week. Use the formula: \( \text{Percentage Change in Income} = \frac{\text{New Income} - \text{Old Income}}{\text{Old Income}} \times 100 \).
Calculate the percentage change in the number of concerts Johnny attends. According to the problem, this change is 5%.
Determine the income elasticity of demand using the formula: \( \text{Income Elasticity of Demand} = \frac{\text{Percentage Change in Quantity Demanded}}{\text{Percentage Change in Income}} \).
Interpret the result: If the income elasticity is greater than 1, demand is income elastic. If it is less than 1, demand is income inelastic. If it equals 1, demand is unitary elastic. Use this interpretation to determine the correct classification of Johnny's demand for concerts.