8. Consider the one-period choice problem of a worker endowed with unearned incomey and T hours of time. The worker faces wage w. His/her preferences can bedescribed by the utility functionu(c,l) = dwhere c represents consumption of a composite good with fixed price of 1 while /represents leisure.(a) Set up the maximisation problem for this worker.Assume now that y = 0 and T = 12. Compute the worker's labour supplyfunction. How does the number of desired hours of work vary with the wagerate? Provide some economic intuition for your answer.

Corner Solution:It's crucial to remember that the employee may select a corner solution, which means…

Answered: 8. Consider the one-period choice…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Assume you can work as many hours per day as you wish at £20 per hour, after tax. You have no other income. You have no ability to borrow or lend.a) Show how this information can be used to illustrate a feasible set, showing the choicebetween leisure time per day on the x-axis, and general consumption on the y-axis. Label the axes and intercepts. Draw some indifferences curves and show where the optimal point would be.
Handwritten solution not required correct answer will get instant upvote.
11. A worker derives utility from consumption, C and leisure, L U = U(C, L) and initially faces the constraints p.C = N+w.H H = 24 - L where p is the nominal price of consumption, N> 0 is unearned income, w is the nominal wage and H is hours worked. (a) Derive the budget constraint in terms of C and L and show on a diagram an initial optimal choice of C and L, in which both are positive. (b) State this equilibrium algebraically, and briefly explain how it can be derived. (c) Show that, assuming normality of leisure, for some value N*, if N> N*, the individual will choose not to work. Is the initial level of N in your answers to parts a) and b) greater or less than N*?
just answer the part e notice that you can do part e without the answer of abcd.
Terry attends college and works part-time in a drug store. She can work up to 40 hours each week and is paid $9 per hour. The following table shows her utility from different levels of leisure and income. Refer to the attached picture for the table. 1. Fill in the Marginal Utility columns above. 2. What will be Terry’s total utility from both leisure and income when working 20 hours per week?
Follow up question g. Explain why the utility curves cannot be drawn so as to induce the worker to work between L1 and L2 hours. h Yelowitz (1995) studies a Medicaid reform measure that reduced the Medicaid work disincentive. One of the reforms he studied raised the Medicaid eligibility threshold income level by 33%. Draw a new version of the fifigure with a new labor–income curve that reflflects this change. Explain how this change might induce someone currently working L1 hours per year to work more, and be sure to draw indifffference curves to support your answer.
3.
Consider a worker who consumes one good and has a preference for leisure. She maximizes the utility function u(x, L) = xL, where a represents consumption of the good and L represents leisure. Suppose that this worker can choose any L = [0, 1], and receives income w(1 L); w represents the wage rate. Let p denote the price of the consumption good. In addition to her wage income, the worker also has a fixed income of y ≥ 0. (a) Write down the utility maximization problem for this consumer. (b) Find the Marshallian demands for the consumption good and leisure. (c) Find the indirect utility as a function of p, w, and y.
QUESTION 7: Budget constraints Everyone is endowed with 168 hours in a week (24X7). If you work 40 hours or less, you w=$20 per hour. If you work overtime, you earn w-$25. Assume the worker has M= non-labor income and that the price of the consumption good is p. Draw the budget constraint. Label the intercepts and the slopes in both the overtime and non-overtime region.

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