Question

Bob produces chairs, using as inputs labor (L) and machines (K). The production function is given:...

Bob produces chairs, using as inputs labor (L) and machines (K). The production function is given:

Q = 10√K + √L

MPK = 5 / √K

MPL = 1 / 2√L

A. What type of returns to scale (increasing, decreasing, constant) does Bob's production function exhibit? Explain.

B. Assuming the wage = 1, and r = 200. Derive Bob's long run total cost function.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Bob produces chairs, using as inputs labor (L) and machines (K). The production function is given:...
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
  • Acme produces anvils using labor (L) and capital (K) according to the production function Q= f(L,K)=LK...

    Acme produces anvils using labor (L) and capital (K) according to the production function Q= f(L,K)=LK with associated marginal products MPL=K, MPK =L. The price of labor is w=2 and the price of capital is r=1. Does Acme's production function for anvils exhibit increasing, constant or decreasing returns to scale? Justify your answer

  • 1. A production function is given by f(K, L) = L/2+ v K. Given this form,...

    1. A production function is given by f(K, L) = L/2+ v K. Given this form, MPL = 1/2 and MPK-2 K (a) Are there constant returns to scale, decreasing returns to scale, or increasing returns to scale? (b) In the short run, capital is fixed at -4 while labor is variable. On the same graph, draw the 2. A production function is f(LK)-(L" + Ka)", where a > 0 and b > 0, For what values of a and...

  • Suppose the firm's production function is given by f(K,L) = min {K",L"} (a) For what values...

    Suppose the firm's production function is given by f(K,L) = min {K",L"} (a) For what values of a will the firm exhibit decreasing returns to scale? Constant returns to scale? Increasing returns to scale? (b) Derive the long-run cost function and the optimal input choices. (c) Suppose the capital is fixed at K = 10,000 and a = 1. Assuming that the firm wants to produce less than 100 units, derive

  • 9. Suppose the firm's production function is given by f(K,L) min (K",L" (a) For what values...

    9. Suppose the firm's production function is given by f(K,L) min (K",L" (a) For what values of a will the firm exhibit decreasing returns to scale? Constant returns to scale? Increasing returns to scale? (b) Derive the long-run cost function and the optimal input choices. (c) Suppose the capital is fixed at R = 10,000 and a =. Assuming that the firm wants to produce less than 100 units, derive 10. Consider the production function: f(K, L) = KLi. Let...

  • A firm produces a product with labor and capital as inputs. The production function is described...

    A firm produces a product with labor and capital as inputs. The production function is described by Q = LK. The marginal products associated with this production function are MPL= K and MPK= L. Let w = 1 and r = 1 be the prices of labor and capital, respectively. a) Find the equation for the firm’s long-run total cost curve as a function of quantity Q. b) Solve the firm’s short-run cost-minimization problem when capital is fixed at a...

  • 9. Suppose the firm's production function is given by f(K,L) = min (Kº,L"} (a) For what values of a will the firm e...

    9. Suppose the firm's production function is given by f(K,L) = min (Kº,L"} (a) For what values of a will the firm exhibit decreasing returns to scale? Constant returns to scale? Increasing returns to scale? (b) Derive the long-run cost function and the optimal input choices. (c) Suppose the capital is fixed at K = 10,000 and a = 1. Assuming that the firm wants to produce less than 100 units, derive 10. Consider the production function: f(K,L)=KLI. Let w...

  • QUESTION 5 The marginal product for labor is given (MP) = 3 – 0.02*L; price of...

    QUESTION 5 The marginal product for labor is given (MP) = 3 – 0.02*L; price of the product is $100 and wage = 200.  Based on information above, the marginal product of labor at the optimal level of employment is $3 $2 $1.5 $1 2 points    QUESTION 6 If the labor elasticity of output is 0.5 and the capital elasticity of output is 0.9, then the production function exhibits constant returns to scale. economies of scale. diseconomies of scale. diminishing...

  • A firm's production function is Q = 70L0.6 K0:3. Its marginal product of labor is thus...

    A firm's production function is Q = 70L0.6 K0:3. Its marginal product of labor is thus MP2 = 42L-0.4 0.3 and its marginal product of capital is MPK = 21L0.6 K-0.7. a. What returns to scale does this production function exhibit: constant, increasing, or decreasing? Show mathematically. b. Suppose the wage rate is $12 and the rental rate for capital is $48. Show that the firm is not minimizing cost when it employs 40 workers (L) per day and 15...

  • Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function...

    Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function of the form: q = 5LK+K+L where q is units per day, L is units of labor input and K is units of capital output. The marginal product of the two inputs are: MPL = 5K+1, MPK = 5L +1. Price per unit of labor: w= $15, price per unit of capital: v= $15. Both labor and capital are variable. a. Write down the...

  • 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...

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