1. For each of the three utility functions below, find the substitution effect, the income effect, and the total effect that result when prices change from p = (2,1) to p'= (2,4). Assume the consumer has income I = 20. (a) Before doing any calculation, make an educated guess about the relative magnitude of the three substitution effects and the three income effects to be found below. (b) u(x1,x2) = x1 + x2. (c) u(x1,x2) = x1x2. (d) u(x1,12) = min {x1,12). (e) Rank the substitution effects and the income effects found above by their magnitude. To what extent do they conform to your guess?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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1. For each of the three utility funetions below, find the substitution effect, the
income effect, and the total effect that result when prices change from p = (2,1)
to p' = (2,4). Assume the consumer has income I = 20.
(a) Before doing any calculation, make an educated guess about the relative
magnitude of the three substitution effects and the three income effects to
be found below.
(b) u(x1,x2) = x1 + x2.
(c) u(x1,x2) = x1x2.
(d) u(x1,x2) = min (x1,x2).
(e) Rank the substitution effects and the income effects found above by their
magnitude. To what extent do they conform to your guess?
Transcribed Image Text:1. For each of the three utility funetions below, find the substitution effect, the income effect, and the total effect that result when prices change from p = (2,1) to p' = (2,4). Assume the consumer has income I = 20. (a) Before doing any calculation, make an educated guess about the relative magnitude of the three substitution effects and the three income effects to be found below. (b) u(x1,x2) = x1 + x2. (c) u(x1,x2) = x1x2. (d) u(x1,x2) = min (x1,x2). (e) Rank the substitution effects and the income effects found above by their magnitude. To what extent do they conform to your guess?
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