A. Consider a consumer whose preferences can be represented by Cobb-Douglas utilityfunction u(x₁, x2) = x³x² where x₁ and ⁄2 are the quantities of good 1 and good 2she consumes. Let p₁ and p2 be the prices of good 1 and good 2 and let m denote herincome.Derive the consumer's Marshallian demand functions.Derive the consumer's Hicksian demand functions.Derive the consumer's expenditure function.Let m = = 120, p₁ = 2, and p2 = 1. Suppose that the price of good 1 drops to p₁ = 1.Find the followingCompensating variation (CV)Equivalent variation (EV)Change in consumer surplus (ACS)Compare CV, ACS, and EV.Let m = 120, P₁P₁ = 2. Find the following=1, and p2 =1. Suppose that the price of good 1 increases toCompensating variation (CV)Equivalent variation (EV)Change in consumer surplus (ACS)Compare CV, ACS, and EV.

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Function u(x₁, x2) A. Consider a consumer whose preferences can be represented by Cobb-Douglas utility = x³x² where x₁ and x²2 are the quantities of good 1 and good 2 she consumes. Let P1 and P2 be the prices of good 1 and good 2 and let m denote her = income. Derive the consumer's Marshallian demand functions. Derive the consumer's Hicksian demand functions. Derive the consumer's expenditure function.

Function u(x₁, x2) A. Consider a consumer whose preferences can be represented by Cobb-Douglas utility = x³x² where x₁ and x²2 are the quantities of good 1 and good 2 she consumes. Let P1 and P2 be the prices of good 1 and good 2 and let m denote her = income. Derive the consumer's Marshallian demand functions. Derive the consumer's Hicksian demand functions. Derive the consumer's expenditure function.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Consider the following utility function: U = 100x.50,0.50 A consumer faces prices of P, = $2 and Py =$1. Assuming that graphically good X is on the horizontal axis and good Y is on the vertical axis, suppose the consumer chooses to consume 6 units of good X an units of good Y. Then the marginal rate of substitution is equal to: MRS = 1.83. (Enter your response rounded to two decimal places. Do not forget to include the negative sign.) Use absolute values. The consumer should consume to maximize utility. more Y and less X the same amount of X and Y more X and less Y 15 tv MacBook Air 80 esc DII F1 F2 F3 F4 F5 F6 F7 F8 @ #3 % 2 7 8. Q W E Y tab s lock A S F G H J Z C V N M Onteel 8 : < CO T D