Suppose James's preferences over consumption bundles (X, Y) can be represented by the utility function U₁(X, Y) = min{2X, Y} and suppose Petra's preferences over the consumption bundles (X, Y) can be represented by the utility function Up(X,Y) = min{3X, 8Y}. Which of the following statements is NOT true? (a) Both James's and Petra's preferences are homothetic (b) The ratio at Petra's optimal bundle is greater than the ratio at James's optimal bundle (c) The functions U₁ and Up are both homogeneous of degree 1 (d) If James's and Petra's incomes triple they will respond by tripling their purchases
Suppose James's preferences over consumption bundles (X, Y) can be represented by the utility function U₁(X, Y) = min{2X, Y} and suppose Petra's preferences over the consumption bundles (X, Y) can be represented by the utility function Up(X,Y) = min{3X, 8Y}. Which of the following statements is NOT true? (a) Both James's and Petra's preferences are homothetic (b) The ratio at Petra's optimal bundle is greater than the ratio at James's optimal bundle (c) The functions U₁ and Up are both homogeneous of degree 1 (d) If James's and Petra's incomes triple they will respond by tripling their purchases
Chapter6: Demand Relationships Among Goods
Section: Chapter Questions
Problem 6.9P
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