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
Suppose a firm has a production function given by Q=2K+L, where L is labor, K is...
Question 4 (1 point) Suppose a firm has a production function given by Q = 2K + L, where Lis labor, Kis capital and Q is the quantity of output. Which of the following statements is WRONG? The firm is exhibiting constant returns to scale The firm's marginal product of capital is constant The firm's marginal product of labor is constant The firm's marginal rate of technical substitution depends on the amount of inputs
Suppose the production function for a firm is given by: q 8L +2K. If the firm currently has 20 units of capital (K) and 10 units of labor (L), then calculate the Marginal Rate of Technical Substitution (MRTSL). (Round to the nearest two decimal places if necessary.) Answer:
Suppose the production function for automobiles is ? = ?? where Q is the quantity of automobiles produced per year, L is the quantity of labor (man-hours) and K is the quantity of capital (machine hours). a) What is the total product (number of automobiles) if the firm uses 25 man hours and 2 machine hours? b) Sketch the isoquant corresponding to a quantity of Q=50. c) What is the general equation for the isoquant corresponding to any level of...
Consider the production function given by y = f(L,K) = L^(1/2) K^(1/3) , where y is the output, L is the labour input, and K is the capital input. (a) Does this exhibit constant, increasing, or decreasing returns to scale? (b) Suppose that the firm employs 9 units of capital, and in the short-run, it cannot change this amount. Then what is the short-run production function? (c) Determine whether the short-run production function exhibits diminishing marginal product of labour. (d)...
Given production function Q=f(K, L) = 8KL + √L where K is capital and L is labor. a. Find marginal product of labor and marginal product of capital.b. Define what is marginal rate of technical substitution, MRTS. Calculate the MRTS for the above case.c. When K = 10, L = 16, what is the total output? Sketch this isoquant function on a diagram where K is the vertical axis and L is the horizontal axis.
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
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%?
Suppose that a firm has a production function of the form q = f(k;l) = 2k2 + 312. Which of the following statements is true regarding the Marginal Rate of Technical Substitution (RTS = .)? MPk MP O a. The RTS depends only on the ratio O b. The RTS depends on both k and I and not only on the ratio O c. The RTS depends only on k Od. The RTS depends only on I
Suppose the production function for a firm is given by: q=4L^0.75*K^0.25. If the firm currently has 20 units of capital (K) and 10 units of labor (L), then calculate the Marginal Rate of Technical Substitution (MRTSLK).
Suppose the production function for a firm is given by: q-2L *4K. If the firm currently has 20 units of capital (K) and 10 units of labor (L), then calculate the Marginal Rate of Technical Substitution (MRTSx) (Round to the nearest fwo decimal places if necessary) Answer Suppose the production function for a firm is given by: q-4L K 25 If the firm currently has 20 units of capital (K) and 10 units of labor (L), then calculate the Marginal...