4. (b) There are three people and two goods in an economy. The utility functions and initial bundles are given below: U₁ = x11x12 W₁ = (0,8) U₂ = 2x21 + x22 W₂ = (2, 2) U3 = X31X32 + x32 W3 = (8,0) Suppose it is suggested that the three traders move to the allocation x given by: x₁ = (1,2), x₂ = (8,4), x3 = (1,4). i) Calculate the marginal rate of substitution for the three at the allocation x.

ECON MICRO
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ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter11: Resource Market
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4. (b) There are three people and two goods in an economy. The utility functions and initial
bundles are given below:
U, = x11X12
U2 = 2x21 + x22
U3 = X31X32 + X32
W1 = (0,8)
W2 = (2,2)
W3 = (8,0)
Suppose it is suggested that the three traders move to the allocation x given by:
x1 = (1,2), x2 = (8,4), x3 = (1,4).
i) Calculate the marginal rate of substitution for the three at the allocation x.
Transcribed Image Text:4. (b) There are three people and two goods in an economy. The utility functions and initial bundles are given below: U, = x11X12 U2 = 2x21 + x22 U3 = X31X32 + X32 W1 = (0,8) W2 = (2,2) W3 = (8,0) Suppose it is suggested that the three traders move to the allocation x given by: x1 = (1,2), x2 = (8,4), x3 = (1,4). i) Calculate the marginal rate of substitution for the three at the allocation x.
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