Microeconomics
Microeconomics
2nd Edition
ISBN: 9780073375854
Author: B. Douglas Bernheim, Michael Whinston
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 4, Problem 1DQ
To determine

Determine preference of consumer.

Expert Solution & Answer
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Explanation of Solution

The principle of declining MRS (marginal rate of substitution) implies that the consumer’s indifference curve are convex to the origin. In this case, the consumption bundle C lies between the consumption bundles A and B. It can be connected through a straight line. That means, C lies above the indifference curve that contains the consumption bundles A and B. Hence, C prefers both A and B. Thus, the answer is that consumer prefer C to A and B.

Economics Concept Introduction

Indifference curve: The indifference curve is a mathematical representation of the combination of all of the consumption bundles that provide a consumer with the same utility.

Marginal rate of substitution (MRS): The MRS is the slope of the indifference curve, which measures the willingness of a consumer to trade one good for the other.

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Lionel eats ham (x) and cheese (y). The utility function U(x,y)=0.25x + 2y^0.5 represents his preferences.a) What is Lionel’s MRS? Holding y constant, how does his MRS change as ham (x) is increased?b) What does your answer in (a) imply about his indifference curves as you hold y constant and increase x? In (c) and (d) you are asked about the Marshallian and Hicksian Demands for cheese (y). Do NOT calculate the demand functions to answer these questions. Use your answers to (a) and (b) to explain your answer. c) Holding prices constant, what is the effect of an increase in income on his Marshallian demand for cheese (y)? Briefly explain your answer.d) Holding prices constant, what is the effect of an increase in utility on his Hicksian demand for cheese (y)? Briefly explain your answer.
Carol needs to decide how to spend her wealth on fish and chicken. For Carol, 1 lb of fish is equivalent to 2 lb of chicken. Her preferences can be represented by the utility function u(x; y) = 2x + y where x is the quantity of fish (in lbs) and y is the quantity of chicken (in lbs). The consumption set is R2+.  a) Draw two typical indifference curves for Carol, one corresponding to a utility level of U1 and one corresponding to a utility level U2, where 0 < U1 < U2. Make sure you label the slope of the indifference curves and the intercepts with the horizontal and vertical axes. b) Suppose the price of fish is $1.5 per lb and and the price of chicken is $1 per lb. Carol has $20 to spend on fish and chicken. Draw Carol's budget set, labeling the slope and the intercept points clearly.  How much fish and chicken will Carol choose to purchase?
Mr. Abdulah enjoys Coffee (K) and Tea (T), with the utility function U (K, T) = 3K + 4T. Question: - Draw the Indifference curve for Abdul if the price of a cup of coffee and tea is Rp. 3, - and Mr. Abdulah has Rp. 12, - to spend on Coffee and Tea. - If the coffee price drops to Rp. 2, - what effect will it have? He wants his satisfaction equal to the original Utility curve. Show it in the picture!
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