According to the classical model, labor supply is exogenous. However, if labor supply is an increasing function of real wage; assume Ls=L(W/P) with L’ (W/P) > 0 A) With the model change, how does an increase in capital stock affect emplyment nad real wages B) And how does does an increase in gov purchase affect total output?
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According to the classical model, labor supply is exogenous. However, if labor supply is an increasing function of real wage; assume Ls=L(W/P) with L’ (W/P) > 0
A) With the model change, how does an increase in capital stock affect emplyment nad real wages
B) And how does does an increase in gov purchase affect total output?
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- b) have a Cobb-Douglas production function where a = 0.2, L = 400, and labor income + capital income = $2,000, what is the price of the output given the neoclassical theory of distribution holds? Using the model for a closed economy, if the nominal wage is $40 and we %3DConsider the simple (one-period) production model. The production function is Cobb-Douglas, exhibits constant returns to scale, and the exponent on capital equals 0.25. In year 2010, the economy's parameter values were A=50, K=600 and L=600? Compute the equilibrium wage. Pick the closest value. None of the other options Between 7 and 8 Between 15 and 18 Between 2.3 and 6.8 Between 12 and 13 Over the following decade, the economy experienced several flooding events that destroyed capital but, thankfully, did not kill people. As a result, in year 2020, the stock of capital has fallen to 300 (but the workforce remains unchanged). Compute the equilibrium wage in year 2020. Pick the closest value. Between 15 and 18 None of the other options Between 2.3 and 6.8 Between 12 and 13 Retween 7and 8The Lewis model is criticized for assuming that real urban wages are constant and that migration and modern sector employment grow proportionately (with urban full employment). What does that following Figure imply? Real wage (= MPLM) D₂ D₁ WM A D₁ (KMI) D₂ (KM2) L₁ Quantity of labour a. If capitalist profits are reinvested in labor-saving capital equipment, labor per unit of output that is required will remain unchanged. b. Surplus labor exists in rural areas while there is full employment in the urban area. c. In spite of all criticism, the Lewis model is important for its emphasis on labor transfer between traditional agriculture and modern industry. d. Labor market doesn't need to be competitive, implying an increase in real urban wages up to the point where the supply of rural surplus labor is exhausted.
- provide solution only to part c of the question.1) Suppose the marginal product of labor in the economy is given by MPN = 0.005(18,000 005N), while the supply of labor is 2000 rate and level of employment. (b) What happens to the wage rate and employment if wealth rises, reducing the supply of labor to 200 + 1000w? + 1000w. (a) Find the market-clearing real wageConsider the simple (one period) production model. The production function is Cobb Douglas, exhibits constant returns to scale, and the exponent on capital equal to 0.25.
- Consider the production function modelled by the following equation: Y₁ = AK₁-α(BH₂)ªL₹ where Kt is capital, Ht is human capital, Lt is the number of workers, B is a scalar larger than 0, A is the (constant) level of technology, 0 < a <1 and 0 <ɛ<1. a) Does this production function satisfy all the neoclassical properties? Discuss the meaning of each property intuitively and mathematically. t Imagine that parents invest in the human capital of their children up to the point where the marginal product of physical capital, Kt, is equal to the marginal product of human capital, Ht. b) What is the relation between Kt and Ht? Use this relation to write down total output as a function of Kt only. Q3(b) in order to make output a function of K alone, after establishing that H and K are proportional, should we also establish H=h*L to remove L from the equation? Or are we treating L and H as independent variables like we did for the previous PSET and question 3(a) above.Economics Consider the following one-period model. Consumer Utility function over consumption (C) and leisure (L) 1 1 U(C,L) = C2L2 Total hours: H = 40 Labour hours: NS = H-L Non-labour income: TT Lump-sum tax: T Hourly wage: W Firm Production function: Y = zF(Nd) = zNd Total factor productivitiy: z = 2 %3D Government Government spending (exogenous): G = 20 Suppose that the total factor productivity, z, increases to 4. What is the income effect of this wage change on labour supply(NS)? A. +6.89 B. +4.39 C. -6.89 O D. -4.39 O E. None of the aboveConsider an economy in which the consumption, investment and production functions are as follows.C = 90 + 0:7(Y - T)I = 250 - 20r F(K;L) = AK1=2L1=2The capital and labor supply are equal to 100 each, A=10, G = 200 and T = 200. Compute theequilibrium values of output, overall labor income, consumption, public savings, national savings,investment, and the interest rate.Suppose now government spending decreases to G=100 (everything else stays the same). Whathappens to output, consumption, savings, investment and the interest rate? Compute the newvalues for these variables.
- Consider the following production function: Y; = AKEH?-"L || where Kris capital, Ht is human capital, Leis the amount of workers and A is the (constant) level of technology. (i) Does this production function satisfy all the neoclassical properties. Discuss the meaning of each property INTUITIVELY.Let's incorporate the labor-leisure trade-off and capital income taxes in the two-period model. Let c₁, c₂ be consumption in two periods, I the number of hours worked, Te Te the proportional taxes on consumption in 2 periods, s the saving rate, w the wage rate, b pension in the 2nd period, and 7, the tax on savings (capital income tax). The household's maximization problem in this case is: given by maxe₁,e2,8,1-1 log(c₁) + log (1-1)+5log (c₂) such that (1+T₂) C₁+8 = (1-7)wl and (1+T₂)C₂ = [1+r(1-Ts)]s+b, where measures how the household values leisure vis-a-vis consumption.Let's incorporate the labor-leisure trade-off and capital income taxes in the two-period model. Let c₁, c₂ be consumption in two periods, I the number of hours worked, Te, Te the proportional taxes on consumption in 2 periods, s the saving rate, w the wage rate, b pension in the 2nd period, and 7, the tax on savings (capital income tax). The household's maximization problem in this case is: given by maxe₁,e2,8,1-1 log(c₁) + log (1-1)+5log (c₂) such that (1+T₂) C₁+8 = (1-7)wl and (1+T₂)C₂ = [1+r(1-Ts)]s+b, where measures how the household values leisure vis-a-vis consumption. A. Explain in English the meaning of the objective function and the 2 constraints.