There are two goods and John's preferences can be represented by u: R30→R given by u(x) = x₁x₂. His income and price of the two goods are given by (M, P₁ P2) = (12, 1, 2). Which 2 of the following 8 options are false: In John's optimal bundle, he consumes the same amount of good 1 as good 2. If we change John's utility function to u(x) = x + x then John's optimal bundle remains unchanged. At John's optimal bundle, the slope of the budget constraint equals the slope of the indifference curve.
There are two goods and John's preferences can be represented by u: R30→R given by u(x) = x₁x₂. His income and price of the two goods are given by (M, P₁ P2) = (12, 1, 2). Which 2 of the following 8 options are false: In John's optimal bundle, he consumes the same amount of good 1 as good 2. If we change John's utility function to u(x) = x + x then John's optimal bundle remains unchanged. At John's optimal bundle, the slope of the budget constraint equals the slope of the indifference curve.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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There are two goods and John's preferences can be represented by u: R²0 R given by u(x) = x₁³x2³. His income and price of the two goods are given by (M, P1,
20
P2) = (12, 1, 2).
Which 2 of the following 8 options are false:
In John's optimal bundle, he consumes the same amount of good 1 as good 2.
If we change John's utility function to u(x) = x + then John's optimal bundle remains unchanged.
At John's optimal bundle, the slope of the budget constraint equals the slope of the indifference curve.
In John's optimal bundle, he spends the same amount on good 1 as good 2.
John's preferences satisfy local non-satiation.
At John's optimal bundle, his bang per buck of good 1 equals his bang per buck of good
If we change John's utility function to u(x) = In (17 +x₁x₂) then John's optimal bundle remains unchanged.
If we change the budget set to (M, P1, P2) = (24, 2, 4) then John's optimal bundle remains unchanged.
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