Question

In: Economics

25) Consider the following one-period, closed-economy model. Utility function over consumption (C) and leisure (L) U(C,L)...

25) Consider the following one-period, closed-economy model. Utility function over consumption (C) and leisure (L) U(C,L) = C 1/2 L 1/2 Total hours: H = 40 Labour hours: N S = H – L Government expenditure = 30 Lump-sum tax = T Production function: Y = zN D Total factor productivity: z = 2 The representative consumer maximizes utility, the representative firm maximizes profit, and the government balances budget. Suppose there is an increase in total factor productivity, z, to 3. What are the substitution and income effects of this price change on C, L, and N S ?

Solutions

Expert Solution


Related Solutions

A. In the consumption/leisure model, let the consumer’s utility function be U(C,l)=C.25+l.25. Suppose Pc=$1 and w1=$10...
A. In the consumption/leisure model, let the consumer’s utility function be U(C,l)=C.25+l.25. Suppose Pc=$1 and w1=$10 determine the optimal amount of C and L and the equation for the labor supply. B. Suppose w2=$12 determine the new optimal C and L and determine the substitution and income effects of the price change of leisure.
Robert has utility function u(c,l) = cl over consumption, c, and leisure, l. Robert is endowed...
Robert has utility function u(c,l) = cl over consumption, c, and leisure, l. Robert is endowed with 16 hours of leisure. Let the price of consumption be p = 1. Robert can sell his time in the labor market at hourly wage, w. The equilibrium we will consider implies zero firm profits, so labor income is the only source of income for consumers. Thus, Robert’s budget line can be written by c + wl = 16w. Production of the consumption...
Robert has utility function u(c,l) = cl over consumption, c, and leisure, l. Robert is endowed...
Robert has utility function u(c,l) = cl over consumption, c, and leisure, l. Robert is endowed with 16 hours of leisure. Let the price of consumption be p = 1. Robert can sell his time in the labor market at hourly wage, w. The equilibrium we will consider implies zero firm profits, so labor income is the only source of income for consumers. Thus, Robert’s budget line can be written by c + wl = 16w. Production of the consumption...
2a) In the consumption/leisure model, let the consumer’s utility function be U(C,l)=C.25+l.25. Suppose Pc=$1 and w1=$10...
2a) In the consumption/leisure model, let the consumer’s utility function be U(C,l)=C.25+l.25. Suppose Pc=$1 and w1=$10 determine the optimal amount of C and L and the equation for the labor supply. b) Suppose w2=$12 determine the new optimal C and L and determine the substitution and income effects of the price change of leisure
In the consumption/leisure model, let the consumer’s utility function be U(C,l)=C.25+l.25. Suppose Pc=$1 and w1=$10 determine...
In the consumption/leisure model, let the consumer’s utility function be U(C,l)=C.25+l.25. Suppose Pc=$1 and w1=$10 determine the optimal amount of C and L and the equation for the labor supply.
Consider an economy where the representative consumer has a utility function u (C; L) over consumption...
Consider an economy where the representative consumer has a utility function u (C; L) over consumption C and leisure L. Assume preferences satisfy the standard properties we saw in class. The consumer has an endowment of H units of time that they allocate to leisure or labor. The consumer also receives dividends, D, from the representative Örm. The representative consumer provides labor, Ns, at wage rate w, and receives dividends D, from the representative Örm. The representative Örm has a...
Question 1: Given the following utility function: (U=Utility, l=leisure, c=consumption) U = 2l + 3c and...
Question 1: Given the following utility function: (U=Utility, l=leisure, c=consumption) U = 2l + 3c and production function: (Y=Output, N or Ns=Labour or Labour Supply) Y = 30N1/2 If h = 100 and G =10 (h=Hours of labour, G=Government spending). Find the equilibrium levels of the real wage (w), consumption (c), leisure (l), and output (Y). Question 2: (Continuting from question 1) a, Find the relationship between total tax revenue and the tax rate if G = tWN. (G=Government spending,...
Question 1: Given the following utility function: (U=Utility, l=leisure, c=consumption) U = 2l + 3c and...
Question 1: Given the following utility function: (U=Utility, l=leisure, c=consumption) U = 2l + 3c and production function: (Y=Output, N or Ns=Labour or Labour Supply) Y = 30N1/2 If h = 100 and G =10 (h=Hours of labour, G=Government spending). Find the equilibrium levels of the real wage (w), consumption (c), leisure (l), and output (Y). Question 2: (Continuting from question 1) a, Find the relationship between total tax revenue and the tax rate if G = tWN. (G=Government spending,...
Consider the consumer’s optimization problem in the one-period model. Utility is: u ( c , l...
Consider the consumer’s optimization problem in the one-period model. Utility is: u ( c , l ) = ln ⁡ ( c ) + γ ln ⁡ ( l ) where c is consumption of goods, l is leisure, and γ is a constant. The consumer’s nominal budget constraint is: P c = W ( h − l ) where P is the price of goods; W is the nominal wage; and h is the total hours in the period....
8、Assume that utility depends on consumption c and leisure l , U(c,l) . (a) Define reservation...
8、Assume that utility depends on consumption c and leisure l , U(c,l) . (a) Define reservation wage. (b) “The reservation wage increases with (i) non-labor income, (ii) fixed monetary costs of work, (iii) fixed time costs of work, and (iv) the price of consumption.” Prove or disprove each of these four claims.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT