Using the lotteries:L =[Amarone : 0.55, Cabernet : 0.45]L2 = [Barolo : 1].L3 =[Cabernet : 1]L4 =[L1 : 0.9, L3 : 0.1]L5 =[L2 : 0.9, L3 : 0.1]Explain why Lauren's preferences violations the Independence Axiom.Enter your answer here

Answer - Need to find- Explain why Lauren's preferences violations the independence Axiom Given…

Answered: Using the lotteries: L1 = [Amarone :…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Suppose that you want to derive and draw the demand function for Mr. Seong (also known as Player 456). Mr. Seong likes to eat Dalgona Candy (D) and drink Soju (S). Suppose Mr. Seong's preferences can be expressed as U(D,S) = (D)º.² · (S)0.8. Suppose further the price of a Dalgona Candy is 2 (pº = 2) and the price of Soju is 4 (ps = 4). Mr. Seong has a budget of 100 to spend on the two goods. A. Use the substitution method to find Mr. Seong's optimal choice of Dalgona Candy and Soju. B. Use any method to find Mr. Seong's optimal choice of Dalgona Candy and Soju if the price of Soju was 5 (instead of 4). Feel free to use the Cobb-Douglas short-cut method if you want. C. Use your answers to A and B to derive the demand for Soju in the two diagrams below. That is, draw the change in the top diagram and then use your result to derive the demand curve in the bottom diagram. Several hints have been drawn in the diagram below. D 50 10 ps 5 4 20 20 25 S FYI: The Cobb-Douglas short-cut can be…
Suppose you find that MU1(X1Xx2)=2x2 and MU₂(x1+x₂)=2x1. What is the rate at which the consumer is willing to trade good 2 for good 1 at bundle (2,4)? (Note: enter a positive number, i.e. enter the quantity of good 2 that the consumer is willing to give up for an additional-marginal-unit of good 1.) Question 20 Suppose you find that the expressions of the marginal utilities for a consumer are given by MU1 (1,2)= 2 and MU₂ (1,2)= 7. Then you can conclude that: This consumer has Cobb-Douglas tastes For this consumer good 1 and good 2 are perfect complements For this consumer good 1 and good 2 are perfect substitutes None of the above Question 21 Suppose a consumer is always willing to give up 5 units of good 2 for an additional unit of good 1. For this consumer: Good 1 and good 2 are perfect complements Good 1 and good 2 are perfect substitutes Good 1 and good 2 are both essential goods None of the above
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Suppose Lea is presented with the following four bundles A=(12, 4), B = (10,6), C = (10, 7) and E=(8,8). Lea's preferences satisfy strong monotonicity and strict convexity. It is also true that for Lea A-E Which of the following statements, if any, is correct? (If no statement is correct, select "None".) Select one or more: a. For Lea, bundle C is strictly preferred to bundle A. b. Lea is indifferent between bundles A and C. c. Lea's favorite bundle among the four stated is A. d. None. e. For Lea, bundle C is strictly preferred to bundle B. f. For Lea, bundle B is strictly preferred to bundle E. g. For Lea, bundle E is strictly preferred to bundle A.
Fang likes playing badminton with her friends. Her utility function for playing badminton every week is given by U(t) = 11t – 2t2, where t is measured in hours. They play on a badminton court, which they can rent per hour. Suppose the current price to play on the badminton court is £2.50 per hour. How many hours should Fang play if she wishes to maximise her utility? Explain what we mean by the principle of diminishing marginal utility. Does the principle apply in Fang’s case? Explain why. In a diagram with income in pound sterling on the horizontal axis and quantity on the vertical axis, show the relationship between Fang’s budget and the number of hours that would maximise her consumer surplus.
John’s preferences for apples (A) and berries (B) are represented by U(A,B)= A+2B . Apples cost £2 and berries £1. Given that John’s monthly income is £30 answer the following questions: What type of goods are apples and berries for John? What is the proportion to which John is willing to exchange apples for berries? Illustrate and solve graphically John’s utility maximization problem. If his income increases every month by £10, how will John’s consumption choice be affected? Illustrate graphically the income expansion path and the Engel curve for each good. How will an increase in the price of berries to £6 affect John’s optimal consumption choice? (John’s income is £30) Graph John’s demand curve for each good. Assume that John wins a voucher of £20, redeemable only in apples. How would this affect John’s utility? (Assume that prices and income are as described initially) Assume that John is presented with two options: an apple voucher of £20 or just £6 to spend on any good he wants.…
Suppose Katie buys the bundle (20,9) from the budget line 3x_1 + 5x_2 = 105. When the price of good 1 changes to p1 = 6 and the price of good 2 remains the same, she buys the bundle (5,15). On a later date when p1 = 5 and p2 = 4, by observing Katie’s choices we can say that the Weak Axiom of Revealed Preference (WARP) is violated if a) She buys the bundle (10,15). b) She buys the bundle (15,10) c) She buys the bundle (23,6) d) She buys the bundle (25,25). e) None of the above choices violates WARP.
John and Belle consume only two goods, x and y. They have strictly convex preferences and no kinks in their indifference curves. At the initial endowment point, the ratio of John's marginal utility of x to his marginal utility of y is J and the ratio of Belle's marginal utility of x to her marginal utility of y is B, where J B. b. C < J. c. C = J. d. C = B. e. J

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Using the lotteries: L1 = [Amarone : 0.55, C'abernet : 0.45] L2 = [Barolo : 1]. L3 = [C'abernet : 1] L4 = [L1 : 0.9, L3 : 0.1] %3D L5 = [L2 : 0.9, L3 : 0.1] Explain why Lauren's preferences violations the Independence Axiom.