please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly A consumer has the utility function: U(x, y) = x(y + 1) where x and y are quantities of twogoods whose prices are p and py, respectively. The consumer also has a budget of B. Findдрхin terms of the Lagrange multiplier (Hint: Envelope theorem).О-λ*x*X"x"O3.Ox'y'

I am here to provide comprehensive academic support to assist you in successfully navigating your…

Answered: A consumer has the utility function:…

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter10: Consumer Choice Theory

Section: Chapter Questions

Problem 6P

See similar textbooks

Similar questions

Please answer fast arjent please
Question 2 David spends his budget on chocolate and chip. His utility function is given by ?(?1,?2)= 2?1?2, where ?1 is the number of chocolates he consumers per week, and ?2 is the number of chips he buys per week. A chocolate costs 10 SEK, and a chip costs 20 SEK. David’s weekly budge for consuming on these two goods is 120 SEK. (1) What is David’s budge line? Draw the budget line on a graph with chocolate amounts on the horizontal axis and chip amounts on the vertical axis. Write explicitly at which points budget line crosses the axis. (2) What is David’s marginal utilities for the two goods, respectively? What is his marginal rate of substitution between the two goods? (3) What is David’s optimal choice? Calculate the numerical answer for the optimal bundle. Also draw an indifference curve for David on the same graph as question(1) and show the optimal bundle.
i need in Words no handwritten or no pic also dont copy from anywhere please
2.5 Ms. Caffeine enjoys coffee (C) and tea (T) accord- ing to the function U(C,T) = 3C+4T. a. What does her utility function say about her MRS of coffee for tea? What do her indiffer- ence curves look like? b. If coffee and tea cost $3 each and Ms. Caffeine has $12 to spend on these products, how much coffee and tea should she buy to maximize her utility? c. Draw the graph of her indifference curve map and her budget constraint, and show that the utility-maximizing point occurs only on the T-axis where no coffee is bought. d. Would this person buy any coffee if she had more money to spend? e. How would her consumption change if the price of coffee fell to $2?
7. Suppose U = x₁x2 and the budget constraint is given as x₁ + 1 = B, solve for x and 1-α 8. Suppose U = xx and our budget is given as p₁x₁+P2x2 = m, where m is our income. Solve for solve for x and x₂. 9. Suppose now we want to minimize our expenditure while achieving a certain amount of utility. So say our budget is given as P₁x₁ + P2x2, which we want to minimize, while our utility x and x = u, where u is the level of utility we would like to achieve. Solve for x and x₂.
Suppose a consumer has utility function U(X, Y) = X2/3Y1/3. Suppose the consumer has M =$90 to spend and the prices of goods X and Y are PX = $15 and PY = $6 . a. Carefully express the consumer’s choice problem, using the given information (this is whereyou write out the max operator, the choice variables, the objective function, and the budget constraint). b. Compute the absolute value of the consumer’s marginal rate of substitution, and inspect it todetermine the shape of the consumer’s indifference curves: C-shaped, linear, )-shaped, or some other shape.To show your work, neatly use the arrow argument, increasing X (↑) and decreasing Y (↓) to see whether|MRS(X, Y)| is diminishing along an indifference curve. c. If the indifference curves are C-shaped write out the budget line and the equal slopes conditionthat characterize an interior solution to the consumer’s choice problem. Use the particulars for the givenconsumer. Solve these conditions to find the interior solution. On the…
1 Consider a consumer who consumes only two goods, 21 and z2. His utility function is u (21, 22) = In z1 + 2. where In represents the natural logarithm. 1.a Derive the consumer's MRS of good 1 for good 2 using calculus to calculate his marginal utility from z and his marginal utility from z2. 1.b If the price of z1 is $2 per unit and the price of z2 is $4 per unit, and the consumer's income is $100, What is the equation of this consumer's budget line? 1.c What are the optimal consumption choices, z and z5, for this consumer? Show your work.
1. Kofi consumes two goods (x) and (y). The following utility function represents his preferences: u(x, y) = 0.4 ln x+0.6 ln y Br Paxt by Y Suppose the prices of the two goods (x and y) are p, and p, and his budget is M. You are required to do the following: a) Specify Kofi's budget set. - b) Derive the Marshallian demand function for each of the two commodities c) Derive the indirect utility function and verify the Roy's identity. d) How many units of each of the two commodities will be consumed by Kofi if his income is GHS100.00 and p. = 1; p, = 2?
Q4 Michael spends all of his money on yams and pudding. His utility function is y.5 2p.5, p.5 24.5) Op = = O p Op = = = Using the typical budget constraint (I = Pyy + Ppp) which of the following is his demand function for pudding? Reminder: 5 = √√√x 2P₂ U=p5y5 (MUp = Pp O None of the above MU, =
A consumer buys Bread (B) and Milk (M) each week at price of 20 and 16 respectively. Suppose that the consumer's current consumption of Bread and Milk is giving him MUBread = 80 and MUMilk = 70. Is the consumer buying the utility-maximizing combination of bread and milk? If not, how should he reallocate his expenditures between the two goods to maximize utility? Draw diagram and explain.
A consumer buys Bread (B) and Milk (M) each week at prices of Rs. 10 and Rs. 8 respectively. Suppose that the consumer's current consumption of Bread and Milk is giving him MUBrend = 80 and MUMia = 70. Is the consumer buying the utility-maximizing combination of bread and milk? If not, how should he reallocate his expenditures between the two goods to maximize utility? Draw diagram and explain.
10

SEE MORE QUESTIONS

Recommended textbooks for you

Exploring Economics

Economics

ISBN:

9781544336329

Author:

Robert L. Sexton

Publisher:

SAGE Publications, Inc

Microeconomics: Private and Public Choice (MindTa…

Economics

ISBN:

9781305506893

Author:

James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Publisher:

Cengage Learning

Economics: Private and Public Choice (MindTap Cou…

Economics

ISBN:

9781305506725

Author:

James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Publisher:

Cengage Learning

Exploring Economics

Economics

ISBN:

9781544336329

Author:

Robert L. Sexton

Publisher:

SAGE Publications, Inc

Microeconomics: Private and Public Choice (MindTa…

Economics

ISBN:

9781305506893

Author:

James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Publisher:

Cengage Learning

Economics: Private and Public Choice (MindTap Cou…

Economics

ISBN:

9781305506725

Author:

James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

A consumer has the utility function: U(x, y) = x(y + 1) where x and y are quantities of two goods whose prices are p and py, respectively. The consumer also has a budget of B. Find дрх in terms of the Lagrange multiplier (Hint: Envelope theorem). О -λ*x* X"x" O 3. O x'y'

A consumer has the utility function: U(x, y) = x(y + 1) where x and y are quantities of two goods whose prices are p and py, respectively. The consumer also has a budget of B. Find дрх in terms of the Lagrange multiplier (Hint: Envelope theorem). О -λx X"x" O 3. O x'y'