Question

In: Economics

Firm A's production function is the following: Q= Q(L,K)= 20LK Calculte the demand functions for labor...

Firm A's production function is the following:

Q= Q(L,K)= 20LK

Calculte the demand functions for labor and capital

Solutions

Expert Solution


Related Solutions

Firm A’s production function is the following: Q=Q(L,K)=20LK Calculate the demand functions for labor and capital.
Firm A’s production function is the following: Q=Q(L,K)=20LK Calculate the demand functions for labor and capital.
1a. The production function for computers is q(K,L) = 7K1/3L2 where K=capital and L=labor. A firm...
1a. The production function for computers is q(K,L) = 7K1/3L2 where K=capital and L=labor. A firm has two units of capital (K=2) which it cannot change. A manager wants to know the marginal productivity of labor if the firm goes from 2 to 3 workers. Calculate the marginal productivity of labor for the manager. Explain your answer carefully to the manager who is not familiar with what the marginal productivity of labor means. 1b. Last year the price of bread...
Consider a firm with a production function Q(L,K) = √L + 2√K, that faces an inverse...
Consider a firm with a production function Q(L,K) = √L + 2√K, that faces an inverse demand function P (Q) = 250 - 2Q, and the labor and capital markets are also in perfect competition. A) Derive the expression for the profit function of the firm in terms of labor and capital and express the profit maximization problem the firm faces. B) Derive the first-order conditions, and use them to get the expressions for the optimal amounts of labor and...
Consider the firm with production function given by q = f ( L , K )...
Consider the firm with production function given by q = f ( L , K ) = L ^(1/4) K^(1/4). If w = r = 4, what is the change in the producer surplus when the price increases from $16 to $32? (round your answer to one decimal place if necessary)
3. Consider the production function Q = K2L , where L is labor and K is...
3. Consider the production function Q = K2L , where L is labor and K is capital. a.[4] What is the Marginal Product of Capital for this production function? Is it increasing, decreasing, or constant? Briefly explain or show how you arrived at your answer. b.[4] Does this production function exhibit increasing, constant or decreasing returns to scale? Briefly explain or show how you arrived at your answer. c.[5] If the firm has capital fixed at 15 units in the...
Consider the production function Q = K2L , where L is labor and K is capital....
Consider the production function Q = K2L , where L is labor and K is capital. a.[4] What is the Marginal Product of Capital for this production function? Is it increasing, decreasing, or constant? Briefly explain or show how you arrived at your answer. b.[4] Does this production function exhibit increasing, constant or decreasing returns to scale? Briefly explain or show how you arrived at your answer. c.[5] If the firm has capital fixed at 15 units in the short...
Suppose the production function of a firm is given by q=L^1/4 K^1/4. The prices of labor...
Suppose the production function of a firm is given by q=L^1/4 K^1/4. The prices of labor and capital are given by and w=10 and r=20, respectively. Write down the firm’s cost minimization problem. What returns to scale does the production function exhibit? Explain. What is the Marginal Rate of Technical Substitution  (MRTS) between capital and labor? What is the optimal capital to labor ratio? Show your work.
A firm has a production function of Q = KL + L, where MPL = K...
A firm has a production function of Q = KL + L, where MPL = K + 1 and MPK = L. The wage rate (W) is $100 per worker and the rental (R) is $100 per unit of capital. a. In the short run, capital (K) is fixed at 4 and the firm produces 100 units of output. What is the firm's total cost? b. In the long run, what is the total cost of producing 100 units of...
A plant’s production function is Q = L^1/3 K^2/3, where L is hours of labor and...
A plant’s production function is Q = L^1/3 K^2/3, where L is hours of labor and K is hours of capital. The price of labor services, w, is $40 per hour and of capital services, r, is $10 per hour. a. Derive the long-run expansion path. In words describe what the expansion path represents. b. In the short-run, the plant’s capital is fixed at K = 64. Labor, on the other hand, is variable. How much will it cost to...
A given firm has the following production function; Q=f (L, K) the cost constraint is C=...
A given firm has the following production function; Q=f (L, K) the cost constraint is C= wL+rK, show that the optimal inputs is obtained at the point where the marginal rate of technical substitution is equal to the price ratio.                                                
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT