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solve, Microeconomics

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1. Suppose that Mr. John has the following Cobb-Douglas utility function
U = 6X^2/3y^1/3
the market price of X and Y commodity are $1 and $2, respectively. If Mr. John''s total income is $90, then answer the following questions:
i. write down the budget line equation
ii. Find the utility maximizing equilibrium quantity of X and Y commodities.
iii. Compute the maximum utility derived from the above equilibrium quantities
iv. Show the equilibrium condition graphically.
v. Compute the income share of commodity X and Y.

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