Find the wage rate in the competitive equilibrium.1-2tw* =Z1-tW*3-2t=21-tW*=W*1+t= Consider the decisions of a representative consumer whose preferences are given by:u(C,1) = In C+ Inlwhere C is the quantity of consumption and 1 is the quantity of leisure.The consumer faces two constraints.The time constraint is given by 1 + N³ = 1, with N³ as the time spent working (or the laborsupply). Further, consumer take wages as given and obtain after-tax labor income that is equal tow(1t)Ns where t is the income tax rate (0 < t < 1). Thus the consumer's budget constraint isgiven byC = w(1 − t)(1 − 1) + πwhere is the real dividend income received from the representative firm (i.e. firm profits).

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Answered: Find the wage rate in the competitive…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Consider the decisions of a representative consumer whose preferences are given by: u(C,1) = In C+ Inl where C is the quantity of consumption and 1 is the quantity of leisure. The consumer faces two constraints. The time constraint is given by 1 + N³ = 1, with N³ as the time spent working (or the labor supply). Further, consumer take wages as given and obtain after-tax labor income that is equal to w(1t)Ns where t is the income tax rate (0 < t < 1). Thus the consumer's budget constraint is given by C = w(1 − t)(1 − 1) + π where is the real dividend income received from the representative firm (i.e. firm profits).
Consider a utility function defined over hours of leisure and consumption expenditure: U(c, h) ch. The after- tax wage rate is given by w and the amount of nonwage income, by N. Assume the number of hours of leisure in a year is 8000. Potential annual income, I, is given by 1-8000wN. It is allocated over hours of leisure, which cost wh, and consumption expenditure, c. The budget constraint is thus 8000wN-cwh 0. 1. Find the demand functions for leisure and consumption. a. Write the Lagrangean function for this problem. b. Find the first order conditions. c. Solve the first order conditions to obtain the condition that the MRS wage rate. Show your steps in the solution. d. Use the results from c to obtain the expansion path
Suppose that the consumerís preferences are given by refer to image for the rest
A4
Now assume that the utility function takes the function form u(c) = ln(c). Note that the derivative of the natural logarthm is u'(c) = 1/c .
solve this all these three subparts early i upvote
A6
how to construct, how do you kno which values map to what?(p1 * w1 + p * w)
Task 5: Consumption as young and consumption as old Now suppose Mary is thinking about her retirement and wants to understand how much to save. Today she can either con- sume or save for retirement. During her young, working life she will make 100.000 euros. Thus, her current budget constraint is Cy + S = 100.000. In her retirement she has no income, only the amount she saved as young. She can save at a rate of (1+r). So, her budget constraint as old is Co = (1+r)S. (a) Write Mary's lifetime budget constraint as plot it in a graph. Tip: Solve for savings while old and substitute in the young budget constraint. (b) Mary's utility from consumption as young and consumption as old is U(Cy,Co) = 1-0 Solve Mary's maximization problem. What is the MRS and the MRT? (c) Suppose Mary wins the lottery while young. What is the effect on her optimal decision for consumption as young and as old? (d) The local bank decided to increase the interest rate on savings. Discuss the effect of this increase…
3) Marco has $100 worth of grain in period 1 but gets no grain in period 2. Marco has two choices. He can store the grain that he does not consume in period 1. This results in a loss of 20% of the grain due to pests. Assume that with this option he will choose to consume 68 units of grain in period 1 and 26 units in period 2. Instead, Marco can sell the grain he does not consume in period 1 and lend the money from that sale to someone today at an interest rate of 10%. He can then use the repayment of that loan to buy gain in period 2. a) Based on this information, draw a diagram that outlines Marco's choices. Is he definitely better off once the opportunity to lend is available to him? b) Relative to his initial equilibrium point, does he unambiguously consume more in both periods once he can lend out the excess he does not consume in period 1? c) Now assume that Marco can sell any excess grain he doesn't consume in period 1 and invest the money he gets in a new type of risky activity.…
Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. Derive and plot the feasible set, between daily values of consumption c, and “leisure”, l. Label the values at the intercepts (the points where the feasible frontier cuts the two axes).
Upgrading an Organization’s ComputersYour organization earns $50 million in annual sales, has 500 employees, andplans to acquire 250 new mobile computers this year along with another 250next year. The goal is to issue every employee a company-owned computer,which they can use at work and at home. The computers will be loaded withantivirus software and productivity software to meet each employee’s business needs. Your organization has decided it will purchase the computersfrom the same manufacturer to obtain a quantity purchase discount. To theextent possible, the goal is to have the same hardware and software foreveryone to simplify the troubleshooting and support of the computers. Thechief financial officer has asked you to lead a project team to define users’computer hardware needs and recommend the most cost-effective solutionfor meeting those needs. Critical Thinking Questions1. Who else (role, department) and how many people would you select to bea member of the team? How would…

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