Assume that in the short run L = 1,000 and K = 100. 1. What is the quantity produced if L = 1,000 and K = 100? (5 points) 2. What is the quantity produced if L = 1,200 and K = 100? (5 points) 3. What is the quantity produced if L = 1,400 and K = 100? (5 points) 4. Does the law of diminishing marginal returns to labor apply to the production process? Why? Why not? (5 points)
1.(10 points) Assuming that labor is the only variable input in the short run, draw (and label) a typically shaped marginal product curve for labor. Explain why the curve looks like this. Identify the point where the Law of Diminishing Returns sets in. Explain why we expect this to occur. Identify the three stages of production.
Please answer the two sub-parts Question 4 (20 points) A firm has the following short-run production function as follows: Q = 15L +18L2-0.5L, where Q = total products per period and L = number of workers employed per period. 4.1) (3 points) Derive the marginal product of labor (MPL). At what number of workers (L) does the law of diminishing returns begin? MPL = f(L) = Law of diminishing return begins when L = workers. . 4.2) (3 points) Derive...
Consider a firm that faces the following production function: q = f(L, K) = L1/2 K1/2 where q is output, L is labor, and K is capital. Use this production function to answer the following questions. (a) What is the marginal product of labor (MPL)? (b) Does the MPL follow the law of diminishing returns? How do you know? (c) What is the marginal product of capital (MPK)? (d) Does the MPK follow the law of diminishing returns? How do...
2. Suppose a firm's short run production function is q = 600L-L. a. At what level of labor does the firm maximize output (total product)? What is the value of total product at this point? b. Does this frim experience increasing marginal product of labor. If so, over what range of output? What happens to total product over this range? c. Over what range of output does this firm experience diminishing marginal product of labor? What is the value 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)...
Can someone please help me solve this? 1. A basic assumption of the short run is that a firm: A) B) C) can employ more workers and add more capital to the production process. cannot adjust its workforce or the amount of capital it uses. can reduce the number of workers it uses, but it cannot adjust how much capital it D) can freely adjust the amount of labor and capital that it employs. Use the following to answer question...
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...
Task 2: Short-Run Production: One Variable and One Fixed Input II.... Consider the following production function: q=8LK + 5L2 - L. Assume capital is fixed at K = 25. (a) At what level of employment does the marginal product of labor equal zero? (Hint: To answer this question mathematically, you will have to use the quadratic formula.) (b) Illustrate the above production function for values of L € [1,30] (Note: Your graph does not necessarily have to be precise at...
1. Imagine a firm has the following short-run production function: q=f(L,K) = K L – L? Assume K = 25. a. Fill in the following table. (First, find the total output from the production function, then find the marginal product by dividing the change in total output by change in labor.) Capital MPL Labor 7 Total Output 126 APL 18 25 12 25 25 25 25 25 10 11 12 13 14 15 25 25 25 b. How many units...
Assuming that labor is the only variable input in the short run, draw (and label) a typically shaped marginal product curve for labor. Explain why the curve looks like this. Identify the point where the Law of Diminishing Returns sets in. Explain why we expect this to occur. Identify the three stages of production.