Question

Consider a firm where, in the long-run, K and L are imperfect substitutes. The firm is...

  1. Consider a firm where, in the long-run, K and L are imperfect substitutes. The firm is currently production 1000 units of output with K = 10 and L = 2. A this mixture of inputs, the MRTS is 8. The cost of labor is 8 and the cost of capital is 24.

    (a) (5 Points) Is the firm minimizing the long-run cost of production? (b) (5 Points) Graph the situation with K on the y-axis.

    (c) (5 Points) If the firm is not minimizing long-run costs, what should it do?

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Consider a firm where, in the long-run, K and L are imperfect substitutes. The firm is...
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
  • A firm discovers that when it uses K units of capital and L units of labor,...

    A firm discovers that when it uses K units of capital and L units of labor, it is able to produce X = L^1/4*K^3/4 units of output. a. Draw the graph of isoquants in labor-capital plane. b. Suppose that the firm produces 24 units of output using 16 units of capital and 81 units of labor. Compute MRTS subscript LK. Compute the MPL. Compute the MPK. c. On the basis of your answer to part (b), is the equation MRTS...

  • Let q = L½k½ denote the production function for a firm making long-run decisions

    Let q = L½k½ denote the production function for a firm making long-run decisions, that is K (capital) and L (labor) are now variable. a. Place k on the Y-axis and L on the X-axis and illustrate an isoquant when q=100.b. Derive an expression for the MRTS (the marginal rate of technical substitution) for any level of q.

  • - Julia operates a cost-minimizing firm that produces a single output using labor (L) and capital...

    - Julia operates a cost-minimizing firm that produces a single output using labor (L) and capital (K). The firm's production function is Q f(L, K) = min{L, K}}. The per-unit price of labor is w = 1 and the per-unit price of capital is r = 1. Recently, the government imposed a tax on Julia's firm: For each unit of labor that Julia employs, she must pay a tax of £t to the government. (a) Graph the Q unit of...

  • 1. A firm operates in the long run. Its long-run production function is given as: Q...

    1. A firm operates in the long run. Its long-run production function is given as: Q = LK, where Qis units of output, Lis units of labor, and K is units of capital. (a) Obtain six integer combinations of Land K when Q = 12. (b) Obtain six integer combinations of Land K when Q = 18. (c) Use the twelve integer combinations of Land K obtained in parts (a) and (b) to construct two isoquants on a two-dimensional plane....

  • 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)...

  • Suppose a firm can use either Capital (K) or Labor (L) in a production process. The...

    Suppose a firm can use either Capital (K) or Labor (L) in a production process. The firms Production function is given by Q = 5L + 15K. The price of Capital is $20 per unit and the price of Labor is $8 per unit. a) (4 points) What is the firm’s Total Cost function? TC(Q) = ____________________________ b) (8 points) Suppose the firm is producing 30 units of output (Q = 30). Using a graph, draw the firm’s isoquant for...

  • a firm produces output according to the production function Q=4K+8L where K is capital and L...

    a firm produces output according to the production function Q=4K+8L where K is capital and L is labour. in this production function are capital and labour (a) perfect complements (b) perfect substitutes (c) imperfect substitutes or (d) perfect substitues as long as labour is less than 8 and perfect complements when labour is more than 8.

  • 2. (12 total points) Suppose a firm can use either Capital (K) or Labor (L) in...

    2. (12 total points) Suppose a firm can use either Capital (K) or Labor (L) in a production process. The firm's production function is given by Q = 5L + 15K. The price of Capital is $20 per unit and the price of Labor is $8 per unit. a) (4 points) What is the firm's Total Cost function? TC(Q)= b) (8 points) Suppose the firm is producing 30 units of output (Q = 30). Using a graph, draw the firm's...

  • A firm’s production technology is given by the production function q = 0.25 LK where L...

    A firm’s production technology is given by the production function q = 0.25 LK where L represents labor hours, K machine hours and q the amount of output. The market wage and rental rates are, w= $16 and r = $256. The firm is operating in the long run where it can adjust both inputs. (a) Suppose that the firm currently is using ten labor hours for each machine hour. Is it minimizing its long run total cost? If so...

  • Consider the following CES production function: Q= AlaL +1-a)K-]%, capital, respectively where Q is output and L and...

    Consider the following CES production function: Q= AlaL +1-a)K-]%, capital, respectively where Q is output and L and K are inputs labour and i) Interpret the parameters A,a,t and V ii) Show that if f-0, the two input Labour and capital are imperfect substitutes in production Consider the following CES production function: Q= AlaL +1-a)K-]%, capital, respectively where Q is output and L and K are inputs labour and i) Interpret the parameters A,a,t and V ii) Show that if...

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