.a~1- 1) Consider the Utility function u = xx St. Px + Px2 = y a....

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.a~1-α 1) Consider the Utility function u = xx St. P₁x₁ + P₂x2 = y a. Examine the convexity of the indifference curve. b. Derive the Marshallian demand curves for x₁ and x₂. c. Derive the Hicksian demand curves for x₁ and x₂. d. Derive the second order sufficient condition for the utility maximization. e. Derive the indirect utility function. f. Use Roy's Identity to derive the ordinary demand function. g. Prove that a1ɛ11 + α₂ɛ21 = -α 1. h. Prove that α₁ 11 + α2 $21=0 .a~1-α 1) Consider the Utility function u = xx St. P₁x₁ + P₂x2 = y a. Examine the convexity of the indifference curve. b. Derive the Marshallian demand curves for x₁ and x₂. c. Derive the Hicksian demand curves for x₁ and x₂. d. Derive the second order sufficient condition for the utility maximization. e. Derive the indirect utility function. f. Use Roy's Identity to derive the ordinary demand function. g. Prove that a1ɛ11 + α₂ɛ21 = -α 1. h. Prove that α₁ 11 + α2 $21=0

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