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10472210Intermediate Econ practice problem need help solving!

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2. ( 16 total points) Suppose there are two consumers, A and B.
The utility functions of each consumer are given by:
UA(X, Y) = X12*Y1/2
UB(X, Y) = X + 2Y
The initial endowments are:
A: X = 2; Y = 8
B: X = 6; Y = 8
a) (10 points) Using an Edgeworth Box, graph the initial allocation (label it "W") and draw the
indifference curve for each consumer that runs through the initial allocation. Be sure to label your graph
carefully and accurately.
b) (2 points) What is the marginal rate of substitution for consumer A at the initial allocation?
c) (2 points) What is the marginal rate of substitution for consumer B at the initial allocation?
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d) (2 points) Is the initial allocation Pareto Efficient?
es. Res
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Given : UA ( X , y ) = x 1/ 2 y 1/ 2
UB ( X , Y ) = X+ 2 y
WA = ( 2,8 )
WB = (618)
( 2 ) To draw the indifference curves, me niel need
the MRS of the two agents, A and B.
MRSA = MUX
MUY
=
4 x - 1 /...

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