1. Given a function, what is the formula to find marginal product of labor?
2. what is the formula to find the cost minimizing combination of K and L?
Answer - The formula for the calculation of marginal product of labor is = Change in TP / Change in input
This will help to calculate the change in TP resulting from change in input.
Answer 2 - The formula to find the cost minimising combination Will be -
Marginal product / wage = marginal product of K / rental price of capital
This equation is used to represent the cost minimising combination of K and L
1. Given a function, what is the formula to find marginal product of labor? 2. what...
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
1. Given the production function Q=L?, calculate the average product of labor for L= 2, and also calculate the marginal product of labor between L = 1 and L = 2. A) The average product of labor is 2 and the marginal product of labor is 2. B) The average product of labor is 1 and the marginal product of labor is 3. C) The average product of labor is 3 and the marginal product of labor is 2. D)...
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...
1. Suppose a firm is producing output according to Q=1001KL. A. Draw a sketch of this firm's isoquant map B. What equation do you use to find a cost-minimizing combination of inputs for a certain output level Q.? K C. The marginal products of labor and capital are given by MP, = 50, and L MPK = 50, L respectively. The price of labor is $5 per unit, and the price of K capital is $20 per unit. What is...
Suppose a firm’s production function is given by Q = L1/2*K1/2. The Marginal Product of Labor and the Marginal Product of Capital are given by: MPL = ½ L-1/2K1/2and MPK = ½ L1/2K-1/2 a) Suppose the price of labor is w = 18, and the price of capital is r = 2. Derive the firm’s total cost function. b) What is the firm’s marginal cost? c) For this problem, you will sketch the graph of the firm’s isoquant for Q...
A firm's production function is Q = 70L0.6 K0:3. Its marginal product of labor is thus MP2 = 42L-0.4 0.3 and its marginal product of capital is MPK = 21L0.6 K-0.7. a. What returns to scale does this production function exhibit: constant, increasing, or decreasing? Show mathematically. b. Suppose the wage rate is $12 and the rental rate for capital is $48. Show that the firm is not minimizing cost when it employs 40 workers (L) per day and 15...
2. Marginal products, RTS, and elasticity of substitution: Consider the following production function: q=k *11/4 a. For some w, y, use the Lagrangean method to derive demand functions by finding the cost-minimizing combinations of k and I in terms of q, w, and y (so the cost function is the objective function, and the production function is the constraint). (10 points) b. What is the rate of technical substitution (RTS) for this function? (5 points) C. Presume that the firm...
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...
2. A firm produces a product with labor and capital. Its production function is described by Q = L1/2K1/2 The price of labor is w = 1, while that of capital is r = 4. (a) What is the cost-minimizing input bundle when Q = 60? (b) What is the cost-minimizing input bundle when = 30? (c) The desired output level falls from -60 to Q = 30, what is the new long-run cost-minimizing input bundle? (d) In the short-run,...
5. The marginal product of labor in the production of computer chips is 50 chips per hour. The marginal rate of technical substitution of hours of labor for hours of machine capital is 1/2. What is the marginal product of capital? 6. Suppose that a firm's production function is q = 10LT/2K1/2. The cost of a unit of labor is $20 and the cost of a unit of capital is $80. a. The firm is currently producing 100 units of...