(Quasilinear Preferences) A consumer's preferences over two goods are described by the following utility function: u(x₁, x₂) = x₂ + Inx, wherex, is the amount of good 1, and x2 is the amount of good 2. Her goal is to choose the best affordable bundle, and she has $2 available. Quantities must be non- negative, but decimals are fine. (a) Find the optimal bundle if p₁=p₂ = 1. (b) Now find the optimal bundle if p₁ = 1 but = 3. P₂ 1 (Qualli Preces) A cour's poderences or two goods as described by the fol- Irwing utility function. [x)+JX when ay is the amount of grad 1, nod ay is the amount of good 2. Ter goal is to choose tan bat affordable bendle, and she has 82 available. Quantities naut he aca negative, bet (a) Find the optimal handle if p-p-1. (b) Now End the optional bandle if p 1 bus 3.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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(Quasilinear Preferences) A consumer's
preferences over two goods are described
by the following utility function:
u(x₁,x₂) = x₂ + Inx, wherex, is the
amount of good 1, and is the amount
of good 2. Her goal is to choose the best
affordable bundle, and she has $2
available. Quantities must be non-
negative, but decimals are fine. (a) Find
the optimal bundle ifp₁ = P₂ = 1. (b) Now
find the optimal bundle ifp₁ = 1 but
= 3.
P2
U
o
1. (Queellinear Preferences) A consumer's preferences over two goods are described by the fol-
lowing utility function.
wfx)=₂+x
where ay is the amount of good 1, and ag is the amount of good 2. Ter goal is to choose
tan best affordable bundle, and she has 82 available. Quantities naust he non negative, but
decimals are fine.
(a) Find the optimal handle if p-2-1.
Chy Now End the optimal bandle if p; - 1 bus p: – 3.
Transcribed Image Text:(Quasilinear Preferences) A consumer's preferences over two goods are described by the following utility function: u(x₁,x₂) = x₂ + Inx, wherex, is the amount of good 1, and is the amount of good 2. Her goal is to choose the best affordable bundle, and she has $2 available. Quantities must be non- negative, but decimals are fine. (a) Find the optimal bundle ifp₁ = P₂ = 1. (b) Now find the optimal bundle ifp₁ = 1 but = 3. P2 U o 1. (Queellinear Preferences) A consumer's preferences over two goods are described by the fol- lowing utility function. wfx)=₂+x where ay is the amount of good 1, and ag is the amount of good 2. Ter goal is to choose tan best affordable bundle, and she has 82 available. Quantities naust he non negative, but decimals are fine. (a) Find the optimal handle if p-2-1. Chy Now End the optimal bandle if p; - 1 bus p: – 3.
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