Question: Suppose a consumer's preferences over commodities 1 and 2 can be represented by the utility function( 1 , 2 ) = min{ 1 , 2

Suppose a consumer's preferences over commodities 1 and 2 can be represented by the utility function(1,2) = min{1,2}, where1,2 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?

Max. score: 4; Neg. score: 0

  • At the optimum, the consumer should consume 50 units of commodity 1 and 50 units ofcommodity 2.
  • At the optimum, the consumer should consume 150 units of commodity 1 and none ofcommodity 2.
  • At the optimum, the consumer should consume 75 units of commodity 2 and none ofcommodity 1.
  • At the optimum, the consumer should spend equal amounts on the two commodities.

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