Consider a Robinson Crusoe economy. Robinson is a representative agent with utility function: u(c, r) = cr, %3D where c is coconuts, and r is leisure. In order to produce coconuts, technology dictates the production, which is given by c = avL, C = where a is some constant, and L is labour. Suppose that a=2. Finally, there is a time constraint: r+L=21 for the consumer. Also the consumer has income of 9. Consider a competitive labour market. Given the wage rate, w-1, the consumer would like to supply 2 decimal places.) units of the labour input. (Answer just the number up to

Consider a Robinson Crusoe economy. Robinson is a representative agent with utility function: u(c, r) = cr, %3D where c is coconuts, and r is leisure. In order to produce coconuts, technology dictates the production, which is given by c = avL, C = where a is some constant, and L is labour. Suppose that a=2. Finally, there is a time constraint: r+L=21 for the consumer. Also the consumer has income of 9. Consider a competitive labour market. Given the wage rate, w-1, the consumer would like to supply 2 decimal places.) units of the labour input. (Answer just the number up to

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.14P

See similar textbooks

Similar questions

Is the pareto principle generally accepted as true or accurate? Or is it considered not true?
With the use of graphs state how the Consumer’s optimum in the Fisher’s Intertemporal Choice Model.
Suppose there is a new preventative treatment for a common disease. If you take the preventative treatment, it reduces the average amount of time you spend sick by 10%. In the Grossman model, we would say that this shifts your productive time budget to the ______ and that your PPF _____. a. left; expands outward b. right; expands outward c. left; shrinks inward d. right; shrinks inward
The fundamental concept in behavioral economics is that due to psychological phenomena, individuals may behave in ways that were previously believed to be irrational according to classical economic theory. Choose T or F: a. True b. False
In a standard economic model, we generally assume the individual only cares about their own payoff. So, for example, utility of individual i is given by u = pi, where pi is the individual’s payoff. Suppose the individual is playing a dictator game with another partner j. How would you modify the utility function to explain the non-zero allocations to the partner that are typically observed?
Consider a two-city (A and B) regional economy where each city operates on the negatively sloped portion of its utility curve. In the initial equilibrium, the two cities are identical. Then air pollution (lead emissions) in city B decreases the brain power and productivity of workers in the city by 20 percent. Illustrate the effects of lead emissions on the regional equilibrium, indicating the direction of changes in city size (the number of workers) and regional utility.
Answer both question (a) and (b) below. (a) State theWeak Axiom of Revealed Preference (WARP). (b) In a two-good model, suppose a consumer always chooses the midpoint of the budget line given any (p1; p2; I), does the demand function satisfy WARP? Why? (HINT: Graphs can be helpful to answer the question.)
Nutritional economics. Suppose we are considering a hungry individual in the Gross-man model deciding what to have for dinner. His options are listed in Table 3.2. Each dish has an effect on the level of the home good Z and health H.a. Suppose the diner’s single-period utility function is as follows: U = 3Z + HIf the diner is trying to maximize his single-period utility, and he can only select one item from Table 3.2, which meal would he choose?b. A miracle pill is discovered that halves the negative health impact of cookies. How does this impact the diner’s choice?c. What effect does the miracle pill have on the diner’s health H? Interpret this result.Does this mean the diner would be better off without the miracle pill?d. If the diner is instead trying to maximize his lifetime utility and not just his single-period utility, how might your answer to Exercise 16(a) change? Is he likely to value Z or H more in the lifetime context than the single-period context? Explain your answer, and…
Most economists believe that economic analysis _____ be made completely free of judgment, in part because it is _____ to absolutely refute a theory on the basis of factual evidence. a. Can; impossible. b. Can; possible. c. Cannot; impossible. d. Will; necessary. e. Cannot; possible.
for which utility function recardian equivalence does not hold?
Question 3 Consider the utility function of the form: ?=?1?1?2?2 Given the budget constraint: ?1?1+?2?2=? Show that the implied Marshallian demand curves are: ?1=?1(?1+?2)??1 ?1=?2(?1+?2)??2
If the initial distribution of two goods between two people is Pareto optimal, which of the following statements is TRUE? A. It is possible to reallocate the goods between the two people so as to increase the utility of both people. B. It is possible to reallocate the goods between the two people so as to increase the utility of one person without decreasing the utility of the other. C. It is possible to reallocate the goods between the two people so as to increase the utility of one person, but only at the expense of the other person. D. It is impossible to reallocate the goods between the two people so as to increase either person's utility. E. None of the above