Homework Answers
Last part of the question -
L= 20 and K= 25
Marginal product of labor = 8*25 + 10*20 -(20)^2 = 0
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V Concept Question 3.9 The marginal product of labor can be determined using the total product...
In the short-run, we assume that capital is a fixed input and labor is a variable...
In the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q = f(L, K), where q is output, L is workers, and K is the fixed number of units of capital. Production Output or Marginal Product Product Labor Average Product Given a specific equation for production: 0 249 9 =...
h the short-run, we assume that capital is a fixed input and labor is a variable...
h the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q f(L, K), where q is output, L is workers, and K is the fixed number of units of capital. Production Labor (L) Output (q) 10 0 2 481 4 987 A specific equation for the production function is given...
1. Derivatives practice: a. Find the marginal product of labor when F(x)-4KL (Take the derivative with...
1. Derivatives practice: a. Find the marginal product of labor when F(x)-4KL (Take the derivative with respect to L b. Find the marginal product of capital when F(x)-4KL (Take the derivative with respect to Find the marginal product of labor when F(x) = 61K3 (Take the derivative with respect to L). c. d. Find the marginal product of labor when F(x) 61/2 K1/ (Take the derivative with e. Find the marginal product of labor when F(x) = 11/4K3/4 (Take the...
Task 2: Short-Run Production: One Variable and One Fixed Input II.... Consider the following production function:...
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...
QUESTION 5 The marginal product for labor is given (MP) = 3 – 0.02*L; price of...
QUESTION 5 The marginal product for labor is given (MP) = 3 – 0.02*L; price of the product is $100 and wage = 200. Based on information above, the marginal product of labor at the optimal level of employment is $3 $2 $1.5 $1 2 points QUESTION 6 If the labor elasticity of output is 0.5 and the capital elasticity of output is 0.9, then the production function exhibits constant returns to scale. economies of scale. diseconomies of scale. diminishing...
In the short-run, we assume that capital is a fixed input and labor is a variable...
In the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q = f(L,K), where q is output, L is workers, and K is the fixed number of units of capital. Production Output (a) Labor (L) A specific equation for the production function is given by 481 987 9 = 8LK...
For each production function below, find the marginal product of capital and labor, and the marginal...
For each production function below, find the marginal product of capital and labor, and the marginal rate of technical substitution. Show whether the production function exhibits CRS DRS, or IRS. For parts a and b, draw what the isoquant looks like for 10 units of output (a) f(K, L) 2K + 2L (b) f(K, L) 2K1/4L/4 (c) f(K, L) K1/2 L/2
Question 1: Explain marginal product and the connection to labor Mathematically use the marginal product to show a reduc...
Question 1: Explain marginal product and the connection to labor Mathematically use the marginal product to show a reduction in the change in output Described the connection between marginal product and marginal cost Solved for marginal cost using the production function or marginal product equation Used the rules about the long run to explain why the firm has increasing or decreasing returns to scale
(a) Consider the production function, q = 100K2L1.5 Calculate the marginal product of labor, MPL, and...
(a) Consider the production function, q = 100K2L1.5 Calculate the marginal product of labor, MPL, and the marginal product of capital,MPK. (c) Suppose that in the short run, the level of capital is fixed at K = 15. Write out the total product of labor curve. What is the marginal product of labor when L = 100? (d) Now consider two input combinations, (K = 5, L = 100) and (K = 20, L = 25). Which of the two...
In the short-run, we assume that capital is a fixed input and labor is a variable...
In the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q =f(L,K), qs8LK + 3L2-1.3 where q is output, L is workers, and K is the fixed number of units of capital. What is the marginal product of labor as a function of L and K? MPL=/ -(Properly format your...
In the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q = f(L, K), where q is output, L is workers, and K is the fixed number of units of capital. Production Output or Marginal Product Product Labor Average Product Given a specific equation for production: 0 249 9 =...
h the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q f(L, K), where q is output, L is workers, and K is the fixed number of units of capital. Production Labor (L) Output (q) 10 0 2 481 4 987 A specific equation for the production function is given...
1. Derivatives practice: a. Find the marginal product of labor when F(x)-4KL (Take the derivative with respect to L b. Find the marginal product of capital when F(x)-4KL (Take the derivative with respect to Find the marginal product of labor when F(x) = 61K3 (Take the derivative with respect to L). c. d. Find the marginal product of labor when F(x) 61/2 K1/ (Take the derivative with e. Find the marginal product of labor when F(x) = 11/4K3/4 (Take the...
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...
In the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q = f(L,K), where q is output, L is workers, and K is the fixed number of units of capital. Production Output (a) Labor (L) A specific equation for the production function is given by 481 987 9 = 8LK...
For each production function below, find the marginal product of capital and labor, and the marginal rate of technical substitution. Show whether the production function exhibits CRS DRS, or IRS. For parts a and b, draw what the isoquant looks like for 10 units of output (a) f(K, L) 2K + 2L (b) f(K, L) 2K1/4L/4 (c) f(K, L) K1/2 L/2
In the short-run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q =f(L,K), qs8LK + 3L2-1.3 where q is output, L is workers, and K is the fixed number of units of capital. What is the marginal product of labor as a function of L and K? MPL=/ -(Properly format your...
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