Question

Which of the following statements is true about the production function Y =F(L,K)? An increase in...

Which of the following statements is true about the production function Y =F(L,K)?

An increase in labor causes output to increase but an increase in capital will not cause output to increase unless it is accompanied by an increase in labor.
An increase in capital causes an increase in capital.
Output increases only when both labor and capital increase.
It is possible for output to increase if capital increases, even if there is no change in the labor input.
An increase in capital causes output to increase but an increase in labor will not cause output to increase unless it is accompanied by an increase in capital.
0 0
Add a comment Improve this question Transcribed image text
Answer #1

The function says that the output depends on labor and capital. A change in any of the two factors will lead to change in output. A change in only one factor and the other remaining fixed may lead to change in output. Thus the correct option is that even if there is no change in labor, the capital increase may result in an increase in output.

Add a comment
Know the answer?
Add Answer to:
Which of the following statements is true about the production function Y =F(L,K)? An increase in...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Consider the production function given by y = f(L,K) = L^(1/2) K^(1/3) , where y is...

    Consider the production function given by y = f(L,K) = L^(1/2) K^(1/3) , where y is the output, L is the labour input, and K is the capital input. (a) Does this exhibit constant, increasing, or decreasing returns to scale? (b) Suppose that the firm employs 9 units of capital, and in the short-run, it cannot change this amount. Then what is the short-run production function? (c) Determine whether the short-run production function exhibits diminishing marginal product of labour. (d)...

  • Here we have the production function y=f(K,L)=K3L, where K is capital input and L is labor...

    Here we have the production function y=f(K,L)=K3L, where K is capital input and L is labor input. Let K>0, L>0. 1. What are the marginal products of capital and labor re- spectively? 2. Please compute the technical rate of substitution (we as- sume K is on the horizontal axis). 3. Dose this production function show diminishing technical rate of substitution (in absolute value) when K increases? Please give a brief proof. 4. Please prove that this production function features increas-...

  • 1. Consider the following production function: Q = f(K, L) = (K^1/2) (L^1/2) a) Place capital...

    1. Consider the following production function: Q = f(K, L) = (K^1/2) (L^1/2) a) Place capital on the vertical axis and labor on the horizontal axis. Determine the marginal rate of technical substitution. b) Suppose that the price of capital is $10, 000, and the price of labor is $10, 000. What is the ratio of capital to labor that allows the firm to produce any given quantity of output as cheaply as possible. c) Suppose that the price of...

  • 12.       Suppose an economy's production function is specified by y = A(√K,√L), where A represents the...

    12.       Suppose an economy's production function is specified by y = A(√K,√L), where A represents the productivity of resources, K the quantity of capital resources, and L the quantity of labor resources.             A. Find potential output when A = 10, K = 49, and L =9.             B. Find potential output when A = 10, K = 49, and labor resources are 3, 6, and 12.             C. Plot the levels of output associated with 3, 6, 9, and...

  • Suppose you were given a production function for the nation of Pluto, Y = A(K.6)(L.4), where...

    Suppose you were given a production function for the nation of Pluto, Y = A(K.6)(L.4), where Y is GDP per capita, A is Total Factor Productivity, K is physical capital per worker, and L is human capital per worker. Which of the following is true about this production function? A.)There are diminishing returns to increases in Total Factor Productivity B.)Pluto only needs human capital per labor to be above zero to have production in its economy C.)There are diminishing returns...

  • In the classic model given the following: Production function: Y=3 K^.5 L^.5 Labor (L) is 400...

    In the classic model given the following: Production function: Y=3 K^.5 L^.5 Labor (L) is 400 units Capital (K) is 100 units Taxes (T) are 200 Government Spending (G) is 100 Marginal Propensity to Consume is .6 Investment is determined by the following function: I(r) = 1000- 100r where r is real interest rate. 1. a) If Government spending increases to 150, Investment and Savings and the interest rate will change. By how much? b) Output, Taxes and Consumption will...

  • 11. Consider the production function: f(K,L)=K+L. Let w and r denote the price of labor and...

    11. Consider the production function: f(K,L)=K+L. Let w and r denote the price of labor and capital, and let p denote the price of the output good. (a) Find the cost minimizing input bundle and the cost function. (b) Find the profit maximizing output level and the profit function. 12. Consider a firm with production function f(K,L) = K +L. (a) Suppose that capital level is currently fixed at K = 10. Find the short term production cost function for...

  • A firm produces output according to the production function: Q = F(K,L) = 2K + 2L....

    A firm produces output according to the production function: Q = F(K,L) = 2K + 2L. a. How much output is produced when K = 2 and L = 3? b. If the wage rate is $65 per hour and the rental rate on capital is $35 per hour, what is the cost-minimizing input mix for producing 4 units of output? Capital: Labor:

  • Consider the production function: f(K,L)=K+L. Let w and r denote the price of labor and capital,...

    Consider the production function: f(K,L)=K+L. Let w and r denote the price of labor and capital, and let p denote the price of the output good. (a) Find the cost minimizing input bundle and the cost function. (b) Find the profit maximizing output level and the profit function.

  • 1. Imagine a firm has the following short-run production function: q=f(L,K) = K L – L?...

    1. Imagine a firm has the following short-run production function: q=f(L,K) = K L – L? Assume K = 25. a. Fill in the following table. (First, find the total output from the production function, then find the marginal product by dividing the change in total output by change in labor.) Capital MPL Labor 7 Total Output 126 APL 18 25 12 25 25 25 25 25 10 11 12 13 14 15 25 25 25 b. How many units...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT