8. (Continuing with the situation described in the preceding question.) Consider the economic model of an individual's labor-leisure choice with the following components: good w represents the hourly wage rate Y represents nonlabor income T represents total time available U(C, L) represents the individual's utility function MUC denotes the marginal utility of consumption MUL denotes the marginal utility of leisure Unless otherwise instructed, assume that consumption and leisure are normal goods. Whenever graphing the model, put C on the vertical axis and L on the horizontal axis. The individual maximizes his utility by choosing the optimal consumption bundle C*=90, L*=15, and H*=9. At this consumption bundle, MUC=4 and MUL=12. If p=2, what is w? 04 06 C represents units of the consumption good L represents hours of leisure H represents hours of paid work p represents the unit price of the consumption 8 10 O There is not enough information to determine w.

8. (Continuing with the situation described in the preceding question.) Consider the economic model of an individual's labor-leisure choice with the following components: good w represents the hourly wage rate Y represents nonlabor income T represents total time available U(C, L) represents the individual's utility function MUC denotes the marginal utility of consumption MUL denotes the marginal utility of leisure Unless otherwise instructed, assume that consumption and leisure are normal goods. Whenever graphing the model, put C on the vertical axis and L on the horizontal axis. The individual maximizes his utility by choosing the optimal consumption bundle C=90, L=15, and H*=9. At this consumption bundle, MUC=4 and MUL=12. If p=2, what is w? 04 06 C represents units of the consumption good L represents hours of leisure H represents hours of paid work p represents the unit price of the consumption 8 10 O There is not enough information to determine w.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

6.
3. Draw and describe analytically the set of feasible consumption choices. What is the marginal rate of substitution at the optimal choice?
Pls help with thsi question Consider an Individual who buys films (F) and books (B) with the following utility function:?(?, ?) = 5? + 2?This individual also has the following incomes (m) and prices (pF and pB):? = $50, ?f= $5, ?b= $10Given the above:1) Draw the utility functions for utility levels of 10 and 20. Draw these with films on the x-axis and books on the y-axis. 2) What is the MRS for these utility functions? Assume that films remain on the x-axis andbooks remain on the y-axis. 3) What is the consumption bundle that delivers the highest level of utility that is alsoaffordable?
4. Steve's utility funetion over leisure and consumption is given by u(L,Y) = min (3L, Y). Wage rate is w and the price of the composite consumption good is p = 1. (a) Suppose w = 5. Find the optimal leisure - consumption combination. What is the amount of hours worked? (b) Suppose the overtime law is passed so that every worker needs to be paid 1.5 times their current wage for hours worked beyond the first 8 hours. Will this law induce Steve to work more hours? If so, how many? If not, explain.
[Nonlinear Budget Constraints] Suppose that Simone has preferences that are represented by the utility function U(x, y) = V(xy), and she has an income I = 20. (a) Suppose that px = 1 and py = 2. What is Simone's MRSX,y? What is her optimal bundle? %3D (b) Suppose now that Simone is subject to rationing. What is her optimal bundle when the maximum amount of x she can purchase is 15? When it's 10? When it's 5? (c) Suppose that the store where Simone does her shopping has a sale going on, where the x is half-off, up to 4 units. Algebraically, px = 0.5 for x 4. That is, the price per unit, up to four units of x is 1, but then increases to 2. The price of good y is py = 2. What is her new optimal bundle? (Note: it may be helpful to plot the budget set. What are the possibilities for what a solution would look like for this budget set?)
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*?
3. [30+10] A consumer who consumes two goods and has the following utility function: U(x₁, x₂) = log(x₁ + 1) + log(x2 + 1), where ₁ and ₂ denote the monthly consumption of two goods. The consumer maximizes her utility subject to the following constraints: P₁x1 + P₂x2 ≤m, x₁ ≥ 0, X₂ ≥ 0, where p₁ > 0, p2 > 0 and m > 0. [Hint: Note that log f(x) = f(df (2).] 1_df f(x) dx (a) Write down the Kuhn-Tucker conditions for a point (x₁, x2) to solve the problem, and find all points that satisfy the conditions. Do any of those points solve the problem? (b) Show the above results by drawing indifference curves and budget set on the x₁x2 plane.
3. Consider a parent who is altruistic towards her child, but also cares about her own consumption. The parent's utility over her own consumption and that of her child is up = log(co) +a log(ci) where c is the child's consumption, and a > 0 is the degree of parental altruism. Suppose that the parent can invest in the child's human capital by spending money (e) on her education; education generates human capital h /() and human capital is paid at rate w. The parent has a total income of (a) Write down an expression for the child's future consumption in terms of the parent's choice of e. (b) Now write down the Lagrangian for the parent's decision problem.
6
3. Consider the economic model of an individual's labor-leisure choice with the following components: C represents units of the consumption good L represents hours of leisure H represents hours of paid work p represents the unit price of the consumption good w represents the hourly wage rate Y represents nonlabor income T represents total time available U(C, L) represents the individual's utility function MUC denotes the marginal utility of consumption MUL denotes the marginal utility of leisure Unless otherwise instructed, assume that consumption and leisure are normal goods. Whenever graphi the model, put C on the vertical axis and L on the horizontal axis. What is the slope of the budget line? -(MUC/MUL) O-(MUL/MUC) O-W O -(w/p) O-(w+Y)/p
9. Behavioral economics Indicate whether each of the following examples of behavior is consistent with the way the traditional economic framework suggests people should act, or if it is reserved for behavioral economists to examine. Example Some people would be willing to pay money to lower the incomes of others. Some people treat $60 they earn differently from $60 they win in a random drawing. Some people sacrifice disposable income to help their children pay for college. Some people would turn down a new, higher-paying job if it meant spending less time with their family. Consistent with the Predictions of Traditional Economic Models Reserved for Behavioral Economics
Please show work. Thank you