Question

In the short-run, capital is fixed at K. Find the short-run average total cost function when a firms production function is Q(L, K) 4. 1/2)2 L172-K 1 2 (r-w)K

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Total cost = wL + rK(bar)

SRATC = (wL + rK(bar))/Q

Q0.5 = L 0.5 + K0.5

after rearranging and replacing K = K(bar):

L = (Q0.5 - K(bar)0.5)2

(replace 'L' in the first equation)

SRATC = (Q0.5 - K(bar)0.5)2 x w/Q + rK(bar)/Q

option b

Add a comment
Know the answer?
Add Answer to:
In the short-run, capital is fixed at K. Find the short-run average total cost function when...
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
  • 5. A firm produces widgets with production function: q-2vKL. In the short run, the firm's amount...

    5. A firm produces widgets with production function: q-2vKL. In the short run, the firm's amount of capital is fixed at K = 100. The rental rate is v = 1 and the wage for L is w= 4. (a) Find the firm's short-run total cost curve (SRTC), short-run average cost curve (SRAC), and the short-run marginal cost (SMC) function. (b) Graph the firm's SAC and SMC using the following levels of production: q 25 and q= 100. (c) Find...

  • 8.13. A firm produces a product with labor and capital. Its production function is described by...

    8.13. A firm produces a product with labor and capital. Its production function is described by Q = L + K. The marginal products associated with this production function are MPL = 1 and MPK = 1. 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 when the prices labor and capital are w = 1 and...

  • 7. For the production function q= min(K, 4L) (a) Assume that capital K is fixed at...

    7. For the production function q= min(K, 4L) (a) Assume that capital K is fixed at 100 units. Derive and plot Page 2 of . The total product function q(L) ii. The marginal product function MPL(L) ii. The average product function AP(L) (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short...

  • 7. For the production function q min(K,4L ): (a) Assume that capital K is fixed at...

    7. For the production function q min(K,4L ): (a) Assume that capital K is fixed at 100 units. Derive and plot: i, The total product function q(L) ii. The marginal product function MPL(L). iii. The average product function APL(L). (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short run average cost....

  • 12. Consider a firm with production function f(K,L) = K+L. (a) Suppose that capital level is currently fixed at K =...

    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 producing outputs greater than or equal to 10 units when w = 1 and r = 1. (b) Suppose wage goes up to w' = 2 while the price of capital remains same at r = 1. Find the new short-run cost function for producing output greater than or equal...

  • A firm uses labor (L) and capital (K) as inputs, and has a short run cost function C=15+ 10q+ q2. Capital is fixed at K̅

    A firm uses labor (L) and capital (K) as inputs, and has a short run cost function C=15+ 10q+ q2. Capital is fixed at K̅ a. Give the formula for the firm's marginal cost function. Any method of deriving the marginal cost function is acceptable. (Hint: When calculating MC, you can assume that increases by a very, very small amount, so that q2 = q1 + ε ≈ q and q1 + q2 ≈ 2q.) b. Give the formula for the firm's...

  • The firm's production function is given as f(L,K) = 4L0.5K0.5 and input prices are w =...

    The firm's production function is given as f(L,K) = 4L0.5K0.5 and input prices are w = 4 and r = 16. In the short-run, the level of capital is fixed at K = 2. What is the firm's short-run average cost function? Wählen Sie eine Antwort: O a. 0.125q 32/q b. 0.25q 16/q О с. 0.125q O d, 4 + 32/q

  • h the short-run, we assume that capital is a fixed input and labor is a variable...

    h the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q f(L, K), where q is output, L is workers, and K is the fixed number of units of capital. Production Labor (L) Output (q) 10 0 2 481 4 987 A specific equation for the production function is given...

  • Consider a firm with production function f(K,L) = K +L. (a) Suppose that capital level is...

    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 producing outputs greater than or equal to 10 units when w = 1 and r=1. (b) Suppose wage goes up to w' = 2 while the price of capital remains same at r = 1. Find the new short-run cost function for producing output greater than or equal to 10...

  • In the short-run, we assume that capital is a fixed input and labor is a variable...

    In the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q = f(L, K), where q is output, L is workers, and K is the fixed number of units of capital. Production Output or Marginal Product Product Labor Average Product Given a specific equation for production: 0 249 9 =...

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
ADVERTISEMENT