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Given the following CES utility function a) Calculate the Marshallian demands. Please show all the steps. b) Calculate the indirect utility functions. Verify Roy's identity.

Given the following CES utility function

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a) Calculate the Marshallian demands. Please show all the steps.

b) Calculate the indirect utility functions. Verify Roy's identity.

c) Calculate the expenditure function.

d) Calculate the Hicksian demand functions. Verify Shepard's Lemma.

e) Calculate the money metric utility function.

f) Calculate the money metric utility function.

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