Consider the problem of a consumer who must choose between two types of goods, good 1 (x₁) and good 2 (x2) costing respectively p₁ and p2 per unit. He is endowed with an income m and has a utility function u defined by u(x₁, x₂)=√√x₁ + x₂.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider the problem of a consumer who must choose between two types
of goods, good 1 (₁) and good 2 (2) costing respectively p₁ and p2 per
unit. He is endowed with an income m and has a utility function u defined by
u(x₁, x₂) = √√√x₁ + x₂.
Transcribed Image Text:Consider the problem of a consumer who must choose between two types of goods, good 1 (₁) and good 2 (2) costing respectively p₁ and p2 per unit. He is endowed with an income m and has a utility function u defined by u(x₁, x₂) = √√√x₁ + x₂.
4. By how much and in what direction will the utility function change if the
income changes by 1 unit?
5. Find the optimal amounts of good 1 and good 2 the consumer will choose
as well as the maximum utility she will get if p₁ = 2, P2
4 and m =
100.
=
Transcribed Image Text:4. By how much and in what direction will the utility function change if the income changes by 1 unit? 5. Find the optimal amounts of good 1 and good 2 the consumer will choose as well as the maximum utility she will get if p₁ = 2, P2 4 and m = 100. =
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