
For the output function: Q-5L+6LK2 + 8Kwhat is the derivative do/dl? C5+6K2 ○ D 12LK 5...
For the output function: Q = 5L + 6LK^{2} + 8K Q=5L+6LK2+8K what is the derivative dQ/dK?
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...
) 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
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....
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?
Novi's output is given by the production function Y = LTX where Y is output, L is labor and T is natural resources. a. Recalling that, in competitive economies, factors are paid their marginal products, find expressions for i. Real wages ("real" means expressed in units of output rather than money) ii. The real return to natural resources b. If @ = 0.25, x = 0.75, labor is growing at a rate of 4% and natural resources are constant, what...
Given the profit function = -500 + 200Q - 4Q^2, where Q corresponds to output, do the following: (a) Find that value of Q that maximizes profit. (b) How do you know that your value of Q maximizes profit? (c) What is the maximum value of profit?
please do #7
the derivative of the function y - tan-(x-v1+x? ). Problem 5. Find the derivative of the function y = sin(2x+1). Problem 6. Find the derivative of the function h(x) = sinh(x?). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. I (a) lim x’e-* (b) lim (sin x In x) x0+
Suppose a firm has the production function: Q=2KL, where K is capital, L is labor and Q is quantity. If capital is fixed at 4 in the short run. What is the short run production function? A. Q=2L B. Q=8L C. Q=2K D. Q=8K
)and second derivative 4. (a) A function f has first derivative f'(x) f(E) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0, Q) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative [3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (ii) Use the second derivative to examine the concavity...