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Derive the marshallian demand function

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Reference no: EM132604859

1. Suppose that a preference relation is represented by the CES(Constant Elasticity of Substitution) utility function:

U( X1 ,X2 ) =(X1p+ X2p)1/p where p <0 and p is equal or not 0

And the prices of X1 and X2 are p1 and p2, and the wealth is w.

a) Solve the UMP to derive the Marshallian demand function..

b) Find the indirect utility function

c) Write down Roy's identity , and verify it for X1

d) Write down the expenditure minimization problem. Find the Hicksian demand function.

e) Find the expenditure function.

f) Write down Shephard's lemma, and verify it for X2

g) Define equivalent variation (EV) and compensated variation (CV),

Reference no: EM132604859

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