Question

Yam has the following utility function for Apples (X1) and Ice Cream (X2) U(X1,X2) = Min{3X1,X2}....

  1. Yam has the following utility function for Apples (X1) and Ice Cream (X2)

U(X1,X2) = Min{3X1,X2}.

  1. Draw Yam’s indifference curves when she consumes 1 and 2 apples.
  2. Derive Yam’s demand functions for Apples and Ice Cream.

Suppose Yam has an income of M = $120 and the prices of Apples and Ice Cream are  p1 =$1, p2 =$1.

  1. What is Yam’s optimal consumption of Apples and Ice Cream?

Suppose a quantity tax of $1 is imposed on Apples.

  1. Separate out the substitution and income effects of this price change and carefully discuss your answer.
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Answer #1

4 a) uklity - men [3x, x27 At optimality 2=3x, b) M=120, Pal Pal Budget x + x2 = M At optionality X2 = 3x1 (x2,03x) mm X, + 3

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