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Questions › JNU › JNU SSS 2015 › Q51
2 marks, −0.5Microeconomics › Budget constraint and consumer equilibrium › Demand under complements, substitutes and quasilinear utilityHardabout 3 min

JNU SSS 2015 Question 51: Budget constraint and consumer equilibrium

Suppose a consumer’s preferences over commodities 1 and 2 can be represented by the utility function U(x1, x2)=min⁡{x1, x2}+max⁡{x1, x2}U(x1,\ x2) = \min\{x1,\ x2\} + \max\{x1,\ x2\}U(x1, x2)=min{x1, x2}+max{x1, x2}, where x1x1x1, x2≥0x2 \geq 0x2≥0. The prices of the two commodities are 1 and 2 respectively and the consumer’s income is 150. Which of the following is true?

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Suppose a consumer’s preferences over commodities 1 and 2 can be represented by the utility function U(x1, x2) = min {x1, x2} + max {x1, x2}, where x1, x2 ≥ 0. The prices of the two commodities are 1 and 2 respectively and the consumer’s income is 150. Which of the following is true? (A) At the optimum, the consumer should consume 150 units of commodity 1 and none of commodity 2 (B) At the optimum, the consumer should consume 75 units of commodity 2 and none of commodity 1 (C) At the optimum, the consumer should consume 50 units of commodity 1 and 50 units of commodity 2 (D) At the optimum, the consumer should spend equal amounts on the two commodities

Also written as: Suppose a consumer’s preferences over commodities 1 and 2 can be represented by the utility function U(x1, x2) = min {x1, x2} + max {x1, x2}, where x1, x2 >= 0. The prices of the two commodities are 1 and 2 respectively and the consumer’s income is 150. Which of the following is true?

Budget constraint and consumer equilibrium has come up 99 times in 7 exams since 2004.

What this question tests

This question is on Demand under complements, substitutes and quasilinear utility, part of Budget constraint and consumer equilibrium in Microeconomics.

Deriving demand when preferences are L-shaped, linear or quasilinear, and what that implies for income and price responses.

TestStop has 23 past-paper questions on this subtopic; the nearest in year are below.

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