Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Business Economics Expert

Indifference Curve, Budget Line & Optimal Utility

A household's utility over two consumption goods x and y is U= U(x,y) = xy.

1. Describe the household's indifference curve for U = 1 for values of x and y less than 3 (ie. the curve containing all combinations of x and y such that U(x,y)=1.

Now assume that the household's wealth is w=4 and that the prices of the goods are px = 2 and py = 2.

2. How many units of x can the household consume at most if it does not consume any y?

3. Describe the household's budget line and its relationship to the indifference curve.

4. What is the household's optimal consumption bundle?

5. What is the Marginal Rate of Substitution (MRS) between the two goods?

Note the budget constraint can be written as 2x + 2y = 4

6. Solve this budget constraint for y and substitute it into the utility function to obtain an expression for utility that depends on x only.

7. Maximize this utility to obtain the optimal amount of x. (Take the derivative of this expression with respect to x, set the derivative equal to zero, solve for x)

8, Find the optimal amount of y by using the result for x.

9. How does this optimal consumption bundle compare to the one found graphically.

 

Business Economics, Economics

  • Category:- Business Economics
  • Reference No.:- M927743

Have any Question? 


Related Questions in Business Economics

Free trade and restricted trade - benefits and cost1-2

Free Trade and Restricted Trade - Benefits and Cost 1-2 paragraphs APA format/ no plagarism Using your own words, define both free and restricted trade. What do you feel are the benefits and the cost to having free trade ...

Assignment -consider the following cobb douglas production

Assignment - Consider the following Cobb Douglas production function where Y is maize output, X 1 is labour input, and X 2 is the capital. Data for estimating this equation is given in the Table below. Y = β 0 X 1i β_1 X ...

Cite the sources used to answer this question provide the

Cite the source(s) used to answer this question. Provide the source(s) below your response and apply APA guidelines for references. 1) Class, is it possible for a business to show an accounting profit, but actually earn ...

What is the relationship between economy business and

What is the relationship between economy, business, and society? -6 page essay (includes only ONE page for references,but the cover page is not included in the 6 page requirement) -Double spaced -APA format

Assessment task descriptiontopicstudents will be required

ASSESSMENT TASK: DESCRIPTION Topic Students will be required to choose a specific enterprise (it should ideally be one with which they are somewhat familiar) and develop a sustainability indicators monitoring system for ...

1 there is a small country whose domestic demand and supply

1) There is a small country whose domestic demand and supply for a good x are given below (where P is the price of X) [drawing a demand and supply graph may be helpful to you, but is not required.] D: P=100-Q S: P=10+2Q ...

In the united states as in most countries we value the

In the United States, as in most countries, we value the benefits of a free and competitive market. This suggests an interesting question: what if there were to be no Antitrust laws or other regulations on business activ ...

Assignmentinstructions1 select an illegal activity and

Assignment Instructions 1. Select an illegal activity and transform/mask its' true purpose with the disguise of a legitimate business operation. In other words, create a start-up business that would be viewed as a legal ...

Chapter 1 managing changeq1 figure 176 shows how bad an

Chapter 1 Managing change Q1 Figure 1.76 shows how bad an implementation can become. Action needs to be taken to prevent this kind of situation. What would you recommend should be done? Q2 You are the project manager for ...

1what is the production possibilities curve and how is it

1. What is the production possibilities curve and how is it useful? 2. What 4 factors contribute to determining any point in this model? 3. How would we apply this framework to the real world? 4. You are planning to expa ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen