Elif has a utility function u(x, y) = 4x/2 + 2y/2, answer the following questions. (a)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Elif has a utility function u(x, y) = 4x¹/2 + 2y¹/2, answer the following questions. (a) Consider that the price of x is 60 TL. the price of y is 30 TL and monthly income is "M" TL. Elif uses all of her income each month to purchase x and y. Solve the constraint optimization problem and find the expressions for x and y*. (b) Confirm the second order condition for the maximization for part (a) using bordered Hessian Matrix. (c) Find the value function, given x* and y*. (d) Suppose that her income has increased by one unit. How does the optimized value of u(x, y) change? Answer by using Envelope Theorem. Interpret the found value. Elif has a utility function u(x, y) = 4x¹/2 + 2y¹/2, answer the following questions. (a) Consider that the price of x is 60 TL. the price of y is 30 TL and monthly income is "M" TL. Elif uses all of her income each month to purchase x and y. Solve the constraint optimization problem and find the expressions for x and y*. (b) Confirm the second order condition for the maximization for part (a) using bordered Hessian Matrix. (c) Find the value function, given x* and y*. (d) Suppose that her income has increased by one unit. How does the optimized value of u(x, y) change? Answer by using Envelope Theorem. Interpret the found value.
Expert Answer:
Answer rating: 100% (QA)
a To solve the problem of maximizing utility we aim to maximize the function ux y 4x12 2y12 given the constraint that the monthly income M is allocate... View the full answer
Related Book For
Posted Date:
Students also viewed these economics questions
-
Answer the following questions based on the information presented for Cloud 9 in Appendix B of this book and in the current and earlier chapters. You should also consider your answers to the case...
-
The sandwich company, Alamo Lone Star (ALS) prepares sandwiches for sale in vending machines in a large number of locations in an urban area. The four types of sandwich that are now provided are...
-
(CV, EV and CS) Consider a person who has a utility function U (x1; x2) = min (2x1; x2). This is a person for whom goods 1 and 2 are perfect complements. This utility function is not differentiable,...
-
Write the Comparison for Legal Factors of China and South Africa
-
A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. Find the probability that a random sample of n = 6...
-
Examine the Al literature to discover whether the following tasks can currently be solved by computers: a. Playing a decent game of table tennis (ping-pong). b. Driving in the center of Cairo. c....
-
Locate questions that can be used during a debtors examination once a judgment is obtained. Try to find questions specific to California, as many states have limits on the types of questions that can...
-
Here are the comparative income statements of Blevins Corporation. Instructions(a) Prepare a horizontal analysis of the income statement data for Blevins Corporation, using 2011 as a base. (Show the...
-
5. Suppose Merton Truck was able to invest in expanding the capacity of one of its departments. Which do you think would be more worthwhile investing in, metal stamping or Model 102 assembly? Why?
-
The following balances were taken from the book of JACK Partnership as of July 1, 2015 when the partnership decided to liquidate: Accounts Receivable, net Furniture & Fixtures, net Sales Proceeds...
-
In a milling operation, compound indexing is used to divide the workpiece into equal number of divisions. The indexing is done in following two stages, 1) First the crank is turned 5 holes on an 18...
-
Consider the populations given in Problems 29-32. a. Find the standard divisor. b. Find the standard quota for each precinct. c. Total, rounding the standard quotas down. d. Find a modified divisor...
-
Determine the winner, if any, using the voting methods in Problems 29-34. Hare method In voting among three candidates, the outcomes are reported as: (CBA) (ACB) (BAC) (BCA) (CAB) 3 0 4 2 5 (ABC) 8
-
Chemistry is taught at five high schools in the Santa Rosa Unified School District. The district has just received a grant of 100 microscopes which are to be apportioned to the five high schools...
-
Find the standard divisor (to two decimal places) for the given populations and number of representative seats in Problems 15-22. Population 62,300,000 # Seats 225
-
Consider a vote for four candidates with the following results: Use this information for Problems 9-11. If there is a tie, break the tie by having a runoff of the tied candidates. If B pulls out...
-
(a) Financial crisis, corporate collapses, Covid-19 disease and war are some of the events in the past, still happening and recently post threats to financial stability of companies. These threats...
-
Using Apple, demonstrate how the differentiation strategy can be well implemented.
-
If the demand function for Noah and Naomi's garden benches is what is their inverse demand function? QDIPI 1,000
-
John is a salesman for the local car dealership. He can divide his 40-hour work week between talking to customers that walk in the door and calling possible prospects. Let W be the number of hours...
-
For some rock concerts, thousands of fans stand in line for hours to purchase tickets. What is the likely event on aggregate surplus that if resale of those tickets in a competitive market is...
-
How do you allocate requirements?
-
How do you flow down requirements?
-
What is requirements flow down?
Study smarter with the SolutionInn App