Consider the following labor-leisure choice model. U(C,L) = C^2/3L^1/3 C = wN + π – T H= N+ L Where C: consumption L: leisure N: hours worked H = 50 : total hours w = 4 : hourly wage π = 20 : non-labor income T = 10 : lump-sum tax Suppose the hourly wage changes to w = 5. Perform a decomposition and fill in the table C L N Substitution Effect Income Effect Total Effect
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Consider the following labor-leisure choice model. U(C,L) = C^2/3L^1/3
C = wN + π – T
H= N+ L Where
C: consumption
L: leisure
N: hours worked
H = 50 : total hours
w = 4 : hourly wage
π = 20 : non-labor income T = 10 : lump-sum tax
Suppose the hourly wage changes to w = 5. Perform a decomposition and fill in the table
C |
L |
N |
|
Substitution Effect |
|||
Income Effect |
|||
Total Effect |
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- Consider the following Labour-Leisure Choice model. Utility function over consumption (C) and leisure (L) 1 3 U(CL) = cL4 Total hours H = 20 Labour hours: N = H-L Non-labour income: 1 = 20 Lump-sum tax T= 10 Hourly wage w = 3 Suppose that the hourly wage increases to 5 What is the substitution effect of this wage change on labour supply(N)? A. -1.10 B. -2.10 O C. +1.10 OD. +2. 10 O E. None of the aboveWhen focusing on a married couple, one person’s non-labor income includes the laborearnings of his/her partner. Using a graph of budget constraints and indifference curves,describe what would happen to the labor supply of one spouse if the other experiences aninvoluntary job loss. Your answer does not depend on whether the spouse you’regraphing is initially supplying labor or not.2. Let an individual’s utility function be given by where C and L are consumption and leisure respectively, and g, a and b are positive constants with a + b = 1. Derive the individual’s Marshallian labor supply function and comment on the magnitudes of the income and substitution effects of wage change. Derive the general form of Slutsky equation of labor supply.
- what happens in the work-leisure model, when the wage rate is decreasing and income effect is stronger than substitution effect?Consider the following one period model Consumer Utility function over consumption (C) and leisure (L) 11 U(CL) = cL3 Total hours H = 50 Labour hours N= H-L Non-labour income m Lump-sum taxT Hourly wage w Eirm Production function Y = zF(N) = 2N° Total tactor productivitiy. z= 5 Government Government spending (exogenous): G = 30 Suppose that the total factor productivity, z, decreases to 3. What is the income effect of this wage change on labour supply(N O A 840 B. +6.40 OC. +8.40 D. 6 40 E. None of the aboveIn a consumption-leisure model, where P is the price of consumption and w is the wageand h is the hours, how do I mathematically calculate the effect of wage jncrease (wage/price of good) on the ff: >consumption>leisure>hours worked How do I know which is stronger between income effect and substitution effect due to increase in w/p? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Consider the following labor-leisure choice model. Utility function over consumption (C) and leisure (L) U(C,L) = C2/5L1/5 %3! Total hours: H = 40 Labor hours: NS = H -L Non-labor income: Tt = 20 Lumpsum tax: T = 10 Hourly wage: w = 2 What is the optimal labor supplied (NS*)? O A. 15 В. 25 O C. 6 D. 34 O E. None of the aboveConsider the labor–leisure budget constraint curve on the graph. This curve shows trade‑offs between income and leisure that must be made over the course of one week. Assume there are no artificial barriers to limits on hours worked and that the wage is $25 per hour. Determine the vertical and horizontal intercepts. vertical intercept: $ horizontal intercept: hd. Based on both the consumption-leisure optimality condition obtained in previous part (Based on both of the two first-order conditions, construct the consumption-leisure optimality condition) and on the budget constraint, qualitatively sketch two things in a diagram with the real wage on the vertical axis and labor on the horizontal axis. First, the general shape of the relationship between w and n (perfectly vertical, perfectly horizontal, upward-sloping, downward-sloping, or impossible to tell). Second, how changes. in / affect the relationship (shift it outward, shift it inward, or impossible to deter mine). Briefly describe the economics of how you obtained your conclusions.
- Suppose John has 24 hours in a day. He can spend his time either working at his job where he earns $20 per hour, or he could spend it doing leisure (everything else, including sleeping). a) Using the labor-leisure choice model, draw a graph that shows his optimum labor supply would be 10 hours a day (with $0 non-labor income). Make sure your graph is completely labeled. b) On the same graph, show what would happen if he receives $100 a day in non-labor income. Breifly explain what is happening in words.Suppose John has 24 hours in a day. He can spend his time either working at his job where he earns $20 per hour, or he could spend it doing leisure (everything else, including sleeping). a) Using the labor-leisure choice model, draw a graph that shows his optimum labor supply would be 10 hours a day (with $0 non-labor income). Make sure your graph is completely labeled. b) On the same graph, show what would happen if he receives $100 a day in non-labor income. Breifly explainWhat is two factors that may influence the shape of individuals’ indifference curves (flat or steep) which reflect their preferences for work or leisure? What is the difference between income effect and substitution effect under the basic work-leisure decision model?