Let a consumer's utility function be U(r, y) = r/2y/2. The consumer's income is I = 160 and prices for the two goods are, respectively, p. = 1 and py = 4. (a) Write down the utility maximization problem and compute the optimal consumption basket. (b) Suppose now the price of good y is equal to p, = 16 (while the price of good r stays constant). Compute the new optimal consumption basket.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Let a consumer's utility function be U (x, y) = x'/²y/2. The consumer's income is I = 160
and prices for the two goods are, respectively, p, = 1 and py = 4.
(a) Write down the utility maximization problem and compute the optimal consumption basket.
(b) Suppose now the price of good y is equal to p, = 16 (while the price of good r stays constant).
Compute the new optimal consumption basket.
Transcribed Image Text:Let a consumer's utility function be U (x, y) = x'/²y/2. The consumer's income is I = 160 and prices for the two goods are, respectively, p, = 1 and py = 4. (a) Write down the utility maximization problem and compute the optimal consumption basket. (b) Suppose now the price of good y is equal to p, = 16 (while the price of good r stays constant). Compute the new optimal consumption basket.
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