6) For U.S. consumers, the income elasticity of demand for fruit juice is 1.1. If the economy enters a recession next year and consumer income declines by 2.5%, what is the expected change in the quantity of fruit juice demanded next year?
A) +27.5% B) -27.5% C) +2.75% D) -2.75%
The correct answer is (D) -2.75%
Income elasticity of demand = % change in demand/ % change in Income
Here It is given that Income decreases by 2.5%. Hence, % change in Income = -2,5(here negative sign indicates that income decreases).
It is also given that, Income elasticity of demand = 1.1
=> Income elasticity of demand = % change in demand/ % change in Income = 1.1
=> % change in demand/ (-2.5) = 1.1
=> % change in demand = -2.5*1.1 = -2.75
Hence, the expected change in the quantity of fruit juice demanded next year = -2.75% (here negative sign indicates that quantity of fruit juice demanded next year decreases).
Hence, the correct answer is (D) -2.75%
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