Solved: Are the marshallian demand functions scale invariant ie, Macroeconomics

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Are the marshallian demand functions scale invariant ie

Problem: Consider the utility maximization problem subject to a budget constraint with the following utility function: U(x, y) = 8x^0.5y^1.5 and the associated MRS is y/3x. Assume that Px is the price of x, Py is the price of Y and I is the consumer's income.

(a) Are the Marshallian demand functions scale invariant (i.e. homogeneous of degree zero)?

(b) Are the goods Giffen?

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