I have answer but do not know parts e as well as othersplease teach explain step by step,A consumer has preferences over two goods represented by the utility function u(x₁, x2):*1 +2√x2.(a) Sketch this consumer's indifference curves.(b) Find the Marshallian demand function x(p, w).(c) Sketch the wealth expansion path; that is, fixing prices p, sketch the demands xp, w) in(1,2)-space as wealth w varies.(d) Find the indirect utility function v(p, w).(e) Use your answer from part (d) to find the Marshallian demand (again) without solvingthe utility maximization problem.((f) Suppose that, initially, prices are p = (P₁, P2) and the consumer has wealth w satisfyingw>. If the price of good one doubles while, at the same time, the price of good twois cut in half, is the consumer made better or worse off (or is it impossible to determine)?(g) Find the expenditure function e(p, u) without solving the expenditure minimizationproblem.(h) Use your answer from part (g) to find the Hicksian demand function h(p, u).'ence we have :MU₁MU=> Px1X1 + Px2P₁1Pa√x2==required marshallian demand for good 2ubstituting this in the given budget equation we get :> Px1X1 + PxX2 = MP 2P₁P₁Pa= M => X1 =MPat=> x2 =1PalPaP₁₁ 2P₁₂2

When discussing economics, the term "utility" refers to the pleasure or enjoyment that consumers…

A consumer has preferences over two goods represented by the utility function u(x₁, x₂) = x1 +2√x₂. (a) Sketch this consumer's indifference curves. (b) Find the Marshallian demand function x(p, w). (c) Sketch the wealth expansion path; that is, fixing prices p, sketch the demands x(p, w) in (1,2)-space as wealth w varies.

A consumer has preferences over two goods represented by the utility function u(x₁, x₂) = x1 +2√x₂. (a) Sketch this consumer's indifference curves. (b) Find the Marshallian demand function x(p, w). (c) Sketch the wealth expansion path; that is, fixing prices p, sketch the demands x(p, w) in (1,2)-space as wealth w varies.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.11P

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