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A consumer's indirect utility function is given by V (p, y) = f(p)y. (a) What is the form of this consumer's expenditure function? (b) What kind of preferences does this consumer have?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

3. A consumer's indirect utility function is given by
V (p, y) = f(p)y.
(a) What is the form of this consumer's expenditure
function?
(b) What kind of preferences does this consumer
have?

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b. A consumer purchases two goods, the amounts of which are x and y. Her marginal utility of consuming good x is Ux , while that of consuming good ? is Uy. If the two marginal utility functions are given by Ux = y2 + 2xy and Uy = 4xy + 3x2 − 3 and the consumer is known to stay on the same utility curve, find the total utility function of this consumer buying the two goods
sketch a person’s indifference map and budget line for two goods, X on the horizontal axis and Y on the vertical axis. Mark the optimum consumption point. Now illustrate the following (you might need to draw a separate diagram for each): (a) A rise in the price of good X (a normal good), but no change in the price of good Y. (b) A shift in the person’s tastes from good Y to good X. (c) A fall in the person’s income and a fall in the price of good Y, with the result that the consumption of Y remains constant (but that of X falls).
marginal utility is a measure of the benefit (or value, or enjoyment) a person obtains by a) Consuming a single additional unit of a product. b)Selling a single additional unit of a product (and spending the resulting cash). c) Borrowing the dollar value of a single additional unit of a product (and spending it on something nice). d)Converting a single additional unit of product to an equivalent number of units.
2
6. A consumer has an expenditure function given by E = Ū(P+). When the consumer has an income of 100, it can reach a maximum utility of 20. The price of x increases by 3 and the consumer's income increases by 25. Are they better off or worse off than before the changes? Explain how you know. Full solution please
Question 7 A consumer has a utility function 100-(x₁-4)4 -(x2-3)4 and a budget constraint of 9x1+3x2 <200. How much of good 2 do they consume?
4.An individual consumes products X and Y and spends $30 per time period. The prices of the two goods are $3 per unit for X and $3 per unit for Y. The consumer in this case has a utility function expressed as: U(X.Y) = 0.5XY How much X should this individual consume, given that he is maximizing the utility? ( A) 4.17 ( B) 5 (C)6 D) 6.25
2. Utility function: U(X,Y)= 2XY* Budget Constraint: 2X +4Y = 80 a. Calculate the utility maximizing amount of X and Y.
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s) Using the indifference curves, a budget line and a price change, show how we can derive an individual's demand curve for a product..
part C D
A, B, C