25. Molly operates a factory with a production function given by Q(K, L.) = L+ 4K, where K is capital and L is labor. The factory employs 25 units of K and 12 units of L. If the production plant is relocated to take advantage of cheap labor so that the employment of K is reduced to 0, how many units of labor L would she need in order to maintain the same level of output as before? A) 48 B) 37 C) 32 D) 112

25. Molly operates a factory with a production function given by Q(K, L.) = L+ 4K, where K is capital and L is labor. The factory employs 25 units of K and 12 units of L. If the production plant is relocated to take advantage of cheap labor so that the employment of K is reduced to 0, how many units of labor L would she need in order to maintain the same level of output as before? A) 48 B) 37 C) 32 D) 112

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

1/2 Consider a firm with the production function ƒ(x₁, x₂) = x¹/²x₂. The price of the two inputs is ₁ = 2 and w₂ = 1. If x₁ = x₂ = 16, the marginal product of input 1 is When ₁ is increasing and 2 stays the same, the marginal product of input 1 is Constant Decreasing Increasing This production function has Constant returns to scale Decreasing returns to scale O Increasing returns to scale None of the other answers is correct Does the production function have a diminishing technical rate of substitution? No Yes
Assume a firm has the following short-run production function: q(L) = L+6L2-1/2L3 If this firm is going to maximize profits in the short-run by producing a strictly positive level of output (q>0), what is the lowest level of labor (L) they would employ? A.) Minimum L=?
Suppose the long-run production function for a competitive firm is f(x1,x2)= min {x1,2x2}. The cost per unit of the first input is w1 and the cost of the second input is w2. .a. Find the cheapest input bundle, i.e. amount of labor and capital, that yields the given output level of y. .b. Draw the conditional input demand functions for labor and capital in the x1-y and x2- y spaces. .c. Write down the formula and draw the graph of the firm’s total cost function as a function of y, using the conditional input demand functions. What is the relationship between the returns to production scale and the behavior of the total costs? .d. Write down the formula and draw the graph of the average cost function, as a function of y. .e. Write down the formula and draw the graph of the marginal cost function, as a function of y.
Consider the production function of the firm below. Which of the following is NOT true? The marginal product of labor at B is 70 units. The total product is increasing as inputs to production increase. The marginal product of capital at point D is 50. The marginal products of both labor and capital are always increasing.
1. Given the production function: q = 2KL, (a) Fill in the table below which has information on the short-run production function, the marginal product of labor (MPL), and the average product of labor (APL) if capital is held fixed at 3 units in the short-run. Labor Quantity of Output (MPL) (APL) 0 1 4 9 16 25 (b) Plot the short-run production function. (c) Plot the marginal and average products of labor on a new graph. (d) Does the law of diminishing marginal returns apply? If so, at what level of labor do diminishing marginal returns set in? (e) What is the relationship between the marginal product of labor (MPL) and the average product of labor (APL)? (f) If the amount of capital increased to 6 units, what would happen to your graphs in part C)?
10. If over the range of positive marginal product, the short-run total product of factor A in the production of X is given by the equation: X=aA +b A2 – A3 Where a, and b are positive constants, and if the average product of A is maximized when X=100, then the marginal product of A must be greater than the average product when X=50. True or False ?. Prove your answer.
. In the short run, labor is a hat-making firm’s only variable input. Wage rate is $5.00/hour. The firm currently employs a certain amount of labor H (hours), such that the marginal product of labor is 10 hats per worker-hour, and average product is 15 hats per worker-hour. MPL(H) = 10; APL(H) = 15. (Note: marginal and average products of labor for this firm are not constant. 10 and 15 are their values at a particular point, H, not everywhere.) What is the marginal cost of a hat for that firm?
The short run production function of a competitive firm is given The short-run production function of a competitive firm is given by f (L) = 6L2/3, where L is the amount of labor it uses. (For those who do not know calculus—if total output is aLb, where a and b are constants, and where L is the amount of some factor of production, then the marginal product of L is given by the formula abLb−1.) The cost per unit of labor is w = 6 and the price per unit of output is p = 3. (a) Plot a few points on the graph of this firm’s production function and sketch the graph of the production function, using blue ink. Use black ink to draw the isoprofit line that passes through the point (0, 12), the isoprofit line that passes through (0, 8), and the isoprofit line that passes through the point (0, 4). What is the slope of each of the isoprofit lines? (b) How many units of labor will the firm hire? (c) Suppose that the wage of labor falls to 4, and the price of output…
3. Suppose a firm has the following production function q = LK4. Let the unit price of capital be 1 and the unit price of labour be w. a) Use the Lagrangian method to find the optimal number of each input used to produce an order of q'units b) Find the long-run cost function. c) How does the cost function change if the wage rate changes?
Problem 1: Your firm has employed an economist to estimate your firm's production function. After gathering the appropriate data, the economist estimates that your is of the form shown below. You also know that capital is fixed at 8 units in the short run. 12 Q=K³L²³ a. Calculate the average product of labor when 27 units of labor are utilized and interpret your result. b. Calculate the marginal product of labor when 27 units of labor are utilized and interpret your result. c. Suppose the firm can hire labor at a wage of $5 per hour and output can be sold at a price of $15 per unit. Determine the profit-maximizing levels of labor and output. d. What is the maximum price of capital at which the firm will still make nonnegative profits?
Please provide answer in 1 hr please urgent please
Please help solve for (b) what is long run cost in a?