For the output function: Q = 5L + 6LK^{2} + 8K Q=5L+6LK2+8K what is the derivative...

Question

Question

For the output function: Q = 5L + 6LK^{2} + 8K Q=5L+6LK2+8K what is the derivative dQ/dK?

Answer 1

Answer #1

Given Q=5L+6LK^2+8K

derivative of dQ/dK=d/dK(5L+6LK^2+8K)

=12LK+8

Therefore dQ/dK=12LK+8

Answer 2

Similar Homework Help Questions

For the output function: Q-5L+6LK2 + 8Kwhat is the derivative do/dl? C5+6K2 ○ D 12LK 5...

For the output function: Q-5L+6LK2 + 8Kwhat is the derivative do/dl? C5+6K2 ○ D 12LK 5 +12LK +8 For the output function: Q = 5L + 6LK2 + 8K what is the derivative dOdK? 12LK O C12LK +8 For the output function: Q = 5 LK2N2 (where N represents natural resources) what is the derivative dQ4N? A 20LKN ○ B 10LKN 0D20KN
The production function of the Auto parts firm is given by Q-5L-L, where Q is the...

The production function of the Auto parts firm is given by Q-5L-L, where Q is the units of output and L is the number of labor hours. Each output sells for 100 dollars per unit. The human resources manager estimates that the marginal cost of hiring an extra worker is 50 dollars. How many labor hours should this firm hire? Hint: MPL=5-2 L 1) 2) A frim's production function is given by Q(L)-6L, where Q measures output and L is...
Aamir's company has the production function Q=8K^0.75L^0.25, where Q measures output, K measures machine hours, and...

Aamir's company has the production function Q=8K^0.75L^0.25, where Q measures output, K measures machine hours, and L measures labor hours. Suppose that the rental rate of capital is R=$120, the wage rate is W=$20, and the firm wants to produce 800 units of output. Use the Lagrange method to find the optimal input mix. What the optimal level of K?

11. (10 points) Suppose the firm's output Q is related to capital input K and labour...

11. (10 points) Suppose the firm's output Q is related to capital input K and labour input L by the production function Q=KL (a): Find dQ/dK (marginal product of capital). (b): Find dQ/dL (marginal product of labour). (c): Find d-Q/dK2 and d-Q/dL and show that they have values less than zero (diminishing returns to factor). (d): Suppose further that K and L are given by the linear functions. Find dQ/dt if K = 5 + 2t and L= 2 +...
6. Consider the following production function: Q=L? -.5L (a) At what level of L is average...

6. Consider the following production function: Q=L? -.5L (a) At what level of L is average product at its maximum? (b) Show that marginal product is equal to average product at the max- imum average product you determined in (a).
18. value: 7.00 points Suppose that a firm with the production function Q = min(5K, 5L)...

18. value: 7.00 points Suppose that a firm with the production function Q = min(5K, 5L) is currently using 6 units of capital and 5 units of labour. What are the marginal products of K and L in this case? K=

Given a perfectly competitive firm in the output market where: P0= exogenous price, C(Q) = cost...

Given a perfectly competitive firm in the output market where: P0= exogenous price, C(Q) = cost function where: C’ > 0, C” > 0. a)State the firm’s profit function in terms of Q. b)Find the F.O.C. that maximizes profits at Q*. c)Interpret the F.O.C. d)Find the S.O.C. that maximizes profits at Q*. e)Interpret the S.O.C. f)Find dQ*/dP0using the implicit function rule on the F.O.C. g)Interpret the derivative in (f) economically.
) Suppose the production function is q = 12 K.5L.5 . Calculate the MRTS (MPK/MPL) when:...

) Suppose the production function is q = 12 K.5L.5 . Calculate the MRTS (MPK/MPL) when: a) K = 200, L = 300 b) K = 50, L = 400 c) K= 900, L = 2000
Below are eight functions. Find the first derivative of each. Space is provided. Use good dark ink...

Below are eight functions. Find the first derivative of each. Space is provided. Use good dark ink if you are returning this by a scanned version. All of the derivatives can be found by using combinations of the constant rule, power function rule and sum-difference rule. Do not use the product rule. It is not needed. The degree of difficulty (more or less) increases from (a-h). Be sure to show intermediate work. Check the scoring rubric to see how the points are awarded. For example, the first...

Given a perfectly competitive firm in the input and output markets where: P0= exogenous price, Q...

Given a perfectly competitive firm in the input and output markets where: P0= exogenous price, Q = f(L, K0) where dQ/dL > 0 and d2Q/dL2< 0, the cost function where: C(L, K0) = r0K0+ w0L; r0= exogenous rental rate of capital, K0= exogenous capital stock, and w0= exogenous wage. a)State the firm’s profit function in terms of L. b)Find the F.O.C. that maximizes profit at L*. c)Interpret the F.O.C. d)Find the S.O.C. that maximizes profit at L*. e)Interpret the S.O.C....