Question

An economy has the production function Y = 0.4 (K + N1/4) In current period K=100...

An economy has the production function Y = 0.4 (K + N1/4)

In current period K=100 and N=100.

a. Graph the relationship between output and capital, holding labor constant at its current value. What is the MPK? Does the marginal productivity of capital diminish? (Use your Excel skills.)

b. Graph the relationship between output and labor, holding capital constant at its current value. Find the MPN for an increase of labor from 100 to 110. Compare this result with the MPN for an increase in labor from 110 to 120. Does the marginal productivity of labor diminish?

Homework Answers

Answer #1

------------------------------------------

If you have any query please ask me in comment box i am here to helps you don't give direct Thumbs down. if you satisfied my work give Thumbs UP

*********THANK YOU*******

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The Hoosier economy has the production function: Y = A F (K, N) = 6 (K)...
The Hoosier economy has the production function: Y = A F (K, N) = 6 (K) 0.5 (N) 0.5    The capital is K = 64, and the labor demanded is N = 25;       the marginal product of labor is MPN = 3 K1/2/ N1/2 the marginal product of capital is MPK = 3 N1/2/ K1/2 What is the GDP? What is the labor demand function? What is the real wage?                    What is the total income to labor?...
Consider the following Cobb-Douglas production function: y(K,L) = 2K^(0.4)*L^(0.6), where K denotes the amount of capital...
Consider the following Cobb-Douglas production function: y(K,L) = 2K^(0.4)*L^(0.6), where K denotes the amount of capital and L denotes the amount of labour employed in the production process. a) Compute the marginal productivity of capital, the marginal productivity of labour, and the MRTS (marginal rate of technical substitution) between capital and labour. Let input prices be r for capital and w for labour. A representative firm seeks to minimize its cost of producing 100 units of output. b) By applying...
Consider the following production function: Y = output = AK1/2N1/2, A = productivity, K = capital,...
Consider the following production function: Y = output = AK1/2N1/2, A = productivity, K = capital, N = labor. a) (3 pts.) Suppose that Y = 1331, K =121, and N = 121. Find A. b) (4 pts.) Find the marginal product of capital (MPK), measured as the additional output that arises when the capital stock is increased by 1 unit. (Start with the values of A, K and N that you found in part (a).) c) (4 pts.) Suppose...
Consider the following production function Y=z*(a*K + (1-a)*N) where z represents total factor productivity, a is...
Consider the following production function Y=z*(a*K + (1-a)*N) where z represents total factor productivity, a is a parameter between 0 and 1, K is the level of capital, and N is labor. We want to check if this function satisfies our basic assumptions about production functions. 1. Does this production function exhibit constant returns to scale? Ex- plain 2. Is the marginal product of labor always positive? Explain 3. Does this function exhibit diminishing marginal product of labor? Ex- plain...
Consider a production function for an economy: Y = 20(L^0.5K^0.4N^0.1) where L is labor, K is...
Consider a production function for an economy: Y = 20(L^0.5K^0.4N^0.1) where L is labor, K is capital, and N is land. In this economy the factors of production are in fixed supply with L = 100, K = 100, and N = 100. a. What is the level of output in this country? b. Does this production function exhibit constant returns to scale. Demonstrate by example. c. If the economy is competitive so that factors of production are paid the...
Consider a production function for an economy: Y = 20(L.5K.4N.1)where L is labor, K is capital,...
Consider a production function for an economy: Y = 20(L.5K.4N.1)where L is labor, K is capital, and N is land. In this economy the factors of production are in fixed supply with L = 100, K = 100, and N = 100. a) What is the level of output in this country? b) Does this production function exhibit constant returns to scale? Demonstrate by an example. c) If the economy is competitive so that factors of production are paid the...
A firm produces output according to the production function. Q=sqrt(L*K) The associated marginal products are MPL...
A firm produces output according to the production function. Q=sqrt(L*K) The associated marginal products are MPL = .5*sqrt(K/L) and MPK = .5*sqrt(L/K) (a) Does this production function have increasing, decreasing, or constant marginal returns to labor? (b) Does this production function have increasing, decreasing or constant returns to scale? (c) Find the firm's short-run total cost function when K=16. The price of labor is w and the price of capital is r. (d) Find the firm's long-run total cost function...
The production function of good x is as follows: Q = (L^0.5)(K^0.4) a. Does this production...
The production function of good x is as follows: Q = (L^0.5)(K^0.4) a. Does this production function have increase, constant or decreasing returns to scale? _______(Answer either IRS, DRS or CRS) b. Calculate the slope of the isoquant when the entrepreneur is producing efficiently with 10 laborers and 20 units of capital. Slope = ______(Answer as a fraction or decimal.) c. If we increase the amount of labor we use in our production process from 10 to 15 units, how...
An electronics plant’s production function is Q = L 2K, where Q is its output rate,...
An electronics plant’s production function is Q = L 2K, where Q is its output rate, L is the amount of labour it uses per period, and K is the amount of capital it uses per period. (a) Calculate the marginal product of labour (MPL) and the marginal product of capital (MPK) for this production function. Hint: MPK = dQ/dK. When taking the derivative with respect to K, treat L as constant. For example when Q = L 3K2 ,...
Consider the following production function: y = F(K, L, D) = TK^αL^β/D^α+β−1 where K, L and...
Consider the following production function: y = F(K, L, D) = TK^αL^β/D^α+β−1 where K, L and D represent capital, labor and land inputs respectively. Denote by s the capital-labor ratio (s = K L ). T captures technological progress and is assumed constant here. α and β are two parameters. (a) (2.5 marks) Does y exhibits constant returns to scale? Show your work. (b) (2.5 marks) Find the marginal product of capital (MPK), the marginal product of labor (MP L),...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT