Question

In: Economics

Consider a representative firm that faces a constant returns to scale production function Y = zF(K,...

Consider a representative firm that faces a constant returns to scale production function Y = zF(K, Nd ), where Y is output of consumption goods, z is TFP, K is physical capital, and Nd is labour input. The amount of capital is assumed to be given and fixed. The production function exhibits a positive marginal product of labour, as well as diminishing returns to labour. The firm seeks to maximize profits. Suppose that the government imposes an output tax Ty < 1 per unit of consumption good produced, and a hiring tax of Tn > 0 units of the consumption good for each unit of labour the firm hires. Show the joint effect of these taxes on the firm's profit maximization problem, optimality condition, and demand for labor, using both equations and graphs. For a given wage rate, what will be the effect on average labour productivity?

Solutions

Expert Solution


Related Solutions

Consider a production function Y=zF(K,Nd) Which of the following properties we assume for F? 1. Constant...
Consider a production function Y=zF(K,Nd) Which of the following properties we assume for F? 1. Constant returns to scale. 2. Output increases with increases in either the labor input or the capital input 3. The marginal product of labor decreases as the labor input increases. 4. The marginal product of capital decreases as the capital input increases. 5. The marginal product of labor increases as the quantity of the capital input increases. a) 1,2,3,4,5 b) 1,2,3 c) 1 and 2
2. Consider the Solow growth model. Suppose that the production function is constant returns to scale...
2. Consider the Solow growth model. Suppose that the production function is constant returns to scale and it is explicitly given by: Y = KaL1-a a. What is the level of output per capita, y, where y = Y/L? b. Individuals in this economy save s fraction of their income. If there is population growth, denoted by n, and capital depreciates at the rate of d over time, write down an equation for the evolution of capital per capita, k,...
Which production function illustrates the case of constant returns to scale?
 A xY = F (zK, zL) where x <z  B  zY = F (zK, zL)  C  yY =F (zK, zL) where y>z  Which production function illustrates the case of constant returns to scale?  Which production function illustrates the case of decreasing returns to scale?  Which production function illustrates the case of increasing returns to scale?    The costs of expected inflation include (choose one or more)  A  shoeleather cost  B  menu costs  C  variability in relative prices leading to microeconomic inefficiencies in the...
For the production function Q = 8L + K , returns to scale: (Multiple choice) -...
For the production function Q = 8L + K , returns to scale: (Multiple choice) - Increasing Returns to Scale - Constant Returns to Scale     - Decreasing Returns to Scale
A representative firm which only can survive for one period. It has the following technology. Y=zF(K,Nd),...
A representative firm which only can survive for one period. It has the following technology. Y=zF(K,Nd), Where K is the given capital stock ( the representative firm owns K but no market value if the firm sells it), Nd is a labor demand by paying competitive market wage rate w, and z is total factor productivity (TFP). Let’s further assume the production functions be a continuous concave function. Without loss of generality, let’s assume the output good price equals to...
What is a production function? What is meant by constant returns to scale? What is meant...
What is a production function? What is meant by constant returns to scale? What is meant by diminishing returns? How are factor prices determined in a competitive economy? How does a firm decide how many workers to hire and how much capital to rent? What factors would alter factor rewards and how? What is Euler’s theorem?
If a production function has constant returns to scale, it means that if we Select one:...
If a production function has constant returns to scale, it means that if we Select one: a. increase capital and labour by 5 percent each, we increase output by 10 percent b. increase capital and labour by 10 percent each, we increase output by 10 percent c. increase capital by 10 percent and increase labour by 5 percent, we increase output by 7.5 percent d. none of the above
a) Do the following production functions exhibit constant returns to scale, increasing returns to scale, or...
a) Do the following production functions exhibit constant returns to scale, increasing returns to scale, or decreasing returns to scale? For full credit, show why. 1) Q= 10L^ 0.5K^0.3 2) Q= 10L^0.5K^0.5 3) Q= 10L^0.5K^0.7 4) Q= min{K, L} b) Which objects pin down a_LC and a_KC? Explain carefully. c) Why does labor being mobile across sectors automatically imply revenue maximization for firms? Explain carefully.
Classical theory assumes the economy’s production function exhibits constant returns to scale. An example is the...
Classical theory assumes the economy’s production function exhibits constant returns to scale. An example is the Cobb-Douglas production function presented on pp. 61-62: Y = AKαL1-α MPL = (1 – α)Y/L MPK = αY/K A is greater than zero and measures the productivity of the available technology. The parameter α is a constant between 0 and 1 and measures capital’s share of income. Assume A = 1, α = 0.5, L = 64 and K = 4. Find the values...
Given the production function y=f(L,K)=4L1/4K3/4. a) Does this function have increasing, decreasing, or constant returns to...
Given the production function y=f(L,K)=4L1/4K3/4. a) Does this function have increasing, decreasing, or constant returns to scale? explain your answer. b)Find the factor demand functions for capital, K, and Labor, L.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT