Consider a market with two households (A and B) and two goods (X and Y). Each household holds 12 units of each good. Household A has a utility UA = 5 ln TA + InyA when it consumes bundle (TA, YA). Household B hasa utility UB = In aB+5 In yg when it consumes bundle (тв, ув). The market reaches an equilibrium when the price of each good is $1. Which, of the following sentences, correctly explains what happens in the market? O Household A purchases 8 units of good X from household B. Household B purchases 8 units of good Y from household A. O Household A purchases 7 units of good Y from household B. Household B purchases 7 units of good X from household A. Household A purchases 9 units of good X from household B. Household B purchases 9 units of good Y from household A. O Household A purchases 7 units of good X from household B. Household B purchases 7 units of good Y from household A. Household A purchases 9 units of good Y from household B. Household B purchases 9 units of good X from household A. O HouseholdA purchases 8 units of good Y from household B. Household B purchases 8 units of good X from household A.

Consider a market with two households (A and B) and two goods (X and Y). Each household holds 12 units of each good. Household A has a utility UA = 5 ln TA + InyA when it consumes bundle (TA, YA). Household B hasa utility UB = In aB+5 In yg when it consumes bundle (тв, ув). The market reaches an equilibrium when the price of each good is $1. Which, of the following sentences, correctly explains what happens in the market? O Household A purchases 8 units of good X from household B. Household B purchases 8 units of good Y from household A. O Household A purchases 7 units of good Y from household B. Household B purchases 7 units of good X from household A. Household A purchases 9 units of good X from household B. Household B purchases 9 units of good Y from household A. O Household A purchases 7 units of good X from household B. Household B purchases 7 units of good Y from household A. Household A purchases 9 units of good Y from household B. Household B purchases 9 units of good X from household A. O HouseholdA purchases 8 units of good Y from household B. Household B purchases 8 units of good X from household A.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Suppose that there are two goods (X and Y ). The price of X is $2 per unit, and the price of Y is $1 per unit. There are two consumers (A and B). The utility functions for the consumers are UA (X, Y): = X0.5y-0.5 UB (X,Y)= X0.8y-0.2 Consumer A has an income of $100, and Consumer B has an income of $300. PAGE 2 (a) Use Lagrangians to solve the constrained utility-maximization problems for Consumer A and Consumer B. (b) Calculate the marginal rate of substitution for each consumer at his or her optimal consumption bundles. (c) Suppose that there is another consumer (let's call her C). You don't know anything about her utility function or her income. All you know is that she consumes both goods. What do you know about C's marginal rate of substitution at her optimal consumption bundle? Why?
Consider a market with two goods, x and z. The consumer’s utility function is U = x^0.2z^0.8 A. Derive the demand function for x and z. B. Let ? = 2, = 4 and = 50. Find the equilibrium quantities demanded of x and z.
A consumer can consume three goods, x₁, x2, and x3. In the markets where she buys them, she is a price-taker and faces prices for the three goods equal to P₁, P₂, and p3, respectively. The consumer has m dollars to spend. Her preferences can be represented by the following utility function: U(x₁, x₂, x3) = x₁x²x². X a) Derive the consumption bundle that maximizes the consumer's utility, subject to her budget constraint. b) Show that the optimal consumption bundle found in part a) is a global maximum. IMG_4479-2.png
just question 1
I need help with this homework question.
Smith and Jones are stranded on a desert island. Each has in her possession some slices of ham (H) and cheese (C). Smith prefers to consume ham and cheese in the fixed proportion of 2 slices of cheese to each slice of ham. Her utility function is given by Us = min(10H, 5C). Jones, on the other hand, regards ham and cheese as substitutes – she is always willing to trade 3 slices of ham for 4 slices of cheese, and her utility function is given by UJ = 4H + 3C. Total endowments are 100 slices of ham and 200 slices of cheese. a. Draw the Edgeworth Box diagram for all possible exchanges in this situation. What is the contract curve for this exchange economy? b. Suppose Smith’s initial endowment is 40 slices of ham and 80 slices of cheese (Jones has the remaining ham and cheese as her initial endowment). What mutually beneficial trades are possible in this economy and what utility levels will Smith and Jones enjoy from such trades? c. Now imagine a new endowment in which Smith has 60 slices…
Consider Gary's utility function: U(X,Y) = 5 XY, where X and Y are two goods. If the individual consumed 10 units of X and received 250 units of utility, how many units of Y must the individual consume? 5 25 0 10
Bob has utility function U(x,y)=x2+y over goods x and y a) Do we have a name for this type of utility function? Are Bob's preferences well-behaved? b) Let Bob have budget I=$60, and let prices be Px=$30, Py=$10. Find Bob's optimal basket of goods x and y. Is this an interior or corner solution? c) What will happen if the price of good y doubles? [Think about: can we use this utility function to describe preferences over pet snakes and pet mice?]
True, false, or undetermined?
None
only question 1
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.…