Q = 400K0.5L0.3
Does this firm operate under increasing, decreasing or constant returns to scale, and why?
A firm has the following production function, where Q is output, K is capital and L...
A firm has a production function q = KL, where q is the quantity of output, K is the amount of capital and L is the amount of labor. a) Does this production function exhibit increasing, decreasing or constant returns to scale? b) Does the long-run cost function exhibit economies of scale or diseconomies of scale? c) Is the LR Average Cost curve increasing or decreasing with q?
a firms production function is Q=K^.2*L^.8 .The cost of labor $20 and the cost of capital is $80.a) what is the cost-minimizing combo of K and L if Q=100? b)does this firm have constant, increasing, decreasing returns to scale? explain. c)Prove your answer to part b using the definitions of constant, increasing or decreasing returns to scale.
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 a firm has a production function given by Q=2K+L, where L is labor, K is capital and Q is the quantity of output. Which of the following statements is WRONG? A. The firm is exhibiting constant returns to scale B. The firm’s marginal product of capital is constant C. The firm’s marginal product of labor is constant D. The firm’s marginal rate of technical substitution depends on the amount of inputs
12. A firm has the production function q = f(L, K) = L + K2 This firm has: a. decreasing returns to scale b. increasing returns to scale c. constant returns to scale d. increasing marginal product e. None of the above.
2. For the following Cobb-Douglas production function, q = f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
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
For the production function F(L,K)=(L+K)^2 find whether the firm has constant, increasing or decreasing returns to scale. . A firm has monthly production function F(L,K) = L+√1+K, where L is worker hours per month and K is square feet of manufacturing space. A. Does the firm's technology satisfy the Productive Inputs Principle? B. What is the firm’s MRTSlk at input combination (L, K)? Does the firm’s technology have a declining MRTS? C. Does the firm have increasing, decreasing, or constant...
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...
SHOW ALL WORK!!! 2. For the following Cobb-Douglas production function, q=f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?