Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two...
21. 12 points Consider a firm that produces output using labor (L) and capital (K). Sup- pose the firm's production technology is f(L, K) = L+ VK and the input prices are w and r for the wage and rental rate of capital. Find the firm's profit maximizing demands for labor and capital. 2.c.K
In order to maximize its profits, a firm that hires workers in a perfectly competitive labor market will hire workers until the: A. Extra revenue generated from hiring another worker equals the extra profit from hiring that worker. B. Extra revenue generated from hiring another worker equals the extra cost of hiring that worker. C. The marginal wage rate marginal product of the last worker. D. The marginal product of labor begins to decline.
You are an efficiency expert hired by a manufacturing firm that uses K and L as inputs. The firm produces and sells a given output. If w (price of labor) = $40, r (price of capital) = $100, MPL = 20, and MPK = 40 is the firm minimizing cost? Please explain and show any calculations. (b) The production function for a competitive firm is Q = K0.5L0.5. The firm sells its output at a price of $10 and can...
Name: 1. Consider a firm that hires workers (L) and produces output (Q). a. If the firm charges a price of $1 per unit output (P) and pays a nominal wage of $8 per worker (W), fill in the values in the following table, where MPL is marginal product of labor (units per worker), VMPL is the value of the marginal product of labor ($ per worker), and W/P is the real wage (units per worker). Labor Output MPL Price...
4. Suppose a firm uses only one input (L) to produce output y, with the production function y L Suppose the firm sells its output in a competitive market at price p, and buys labor in a competitive market at price w. a. Write an expression for the profits of the firm as a function of w, p, and L. b. What is the marginal cost of hiring an additional unit of labor? Graph the marginal cost of labor curve...
Assume that a purely competitive firm uses two resources, labor (L)and capital (C), to produce a product. The market price of this product is $1.00. The Marginal Product (MP) and prices of the resources (Pl) and (Pc)are shown in the following four situations below: ---------------------------------------------------------------------------------------- MPl MPc Pl Pc MRPl MRPc I 30 20 30 40 ______ ______ II 20 20 10 10 ______ ______ III 10 15 10 15 ______ ______ IV 30 40 10 5 ______ ______ ------------------------------------------------------------------------------------------ a. Calculate the marginal revenue product...
The production of Florida strawberries uses two inputs: labor (L) and capital (K). The following production function describes how these inputs are combined to produce bushels of oranges. f(L,K) = 5(1/2 + 3K1/2 1) Determine what kind of returns to scale this production function exhibits (HINT: labor is the "x" variable - the one that goes on the horizontal axis). 2) What is the formula for that kind of returns to scale? (HINT: use f(L,K)) 3) What is the general...
10. Consider the production function: f(KL)=K L. Let wandr denote the price of labor and capital, and let p denote the price of the output good. (a) Find the cost minimizing input bundle and the cost function as a function of w., and q. (b) Find the profit maximizing output level and the profit as a function of w, r, and p. 11. Consider the production function: f(KL)=K+L. Let w and r denote the price of labor and capital, and...
29. A firm produces in a perfectly competitive market and hires labor in a perfectly competitive labor market. The firm hires four workers, the marginal product of the fourth worker is 4, and the wage rate is $40. The firm produces 100 units of the product, which sell for a price of $10. This firm is a. maximizing profit when it hires four workers. b. not maximizing profit and should hire more workers to increase profit. c. not maximizing profit...
Consider a production function Q=Q(K,L)=6K^(1/2)L^(1/3) with K as capital and L as labor input. Let the price per unit of output be P=$0.50, the cost or rental rate per unit of capital be r=$0.10 and let the price (wage rate) of labor be w=$1. a) find the profit max level of K and L and check with second order condition (my answer was L=3.375 and K=1.5) b) Find max profit (I got profit=1.986)