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. A firm requires 12 units of good Q. . The firm can only hire one...
A firm requires 96 units of good Q. The firm can only hire one worker to...
A firm requires 96 units of good Q. The firm can only hire one worker to produce these 96 units. The firm pays its worker a fixed wage. The worker’s production function is Q(e) = 24e The worker’s effort cost function is C(e) = 4e² The worker gets 0 if unemployed. Treat the good as continuous. Assume the firms pay the lowest fixed wage it can. What wage does it pay?
the longbow firm makes long bows. it can rent its equipment and hire workers at competitive...
the longbow firm makes long bows. it can rent its equipment and hire workers at competitive rate. Equipment needed for this firm can be rented at $52 per hour and labor can be hired at $12 per work hour. The firm has allocated $150,000 for its initial run of long bows. The production function is Q=0.25K^(0.25)L^(0.75). What is the firms isocost equation? A) Q=12L+52K B)150,00=0.25(52)+0.75(L) C)150,000=12L+52K D)Q=0.25(52)+0.25(12L) Please show work
2. To produce 18 units of output a firm can hire either 9 workers or 3...
2. To produce 18 units of output a firm can hire either 9 workers or 3 machines. a. Let L denote workers and K denote machines. Write down a production function that represents this firm's production technology. (2 points) b. Let w denote the wage rate and r denote the rental rate of capital. Suppose wir = 0.4. Derive the firm's long run factor demand functions for labor and capital and the firm's long run cost function. (4 points) C....
Assume that a firm has a fixed-proportions production function, in which one unit of output is produced using one worker and two units of capital. If the firm has an extra worker, say two workers, and no more capital, it still can produce only one unit of
Assume that a firm has a fixed-proportions production function, in which one unit of output is produced using one worker and two units of capital. If the firm has an extra worker, say two workers, and no more capital, it still can produce only one unit of output. Similarly, an extra unit of capital does the firm no good.a) Draw the isoquants for this production function.b) Draw the total product, average product, and marginal product of labor curves (you will...
Suppose a firm has the following production function: Q = 2K L. The marginal product of...
Suppose a firm has the following production function: Q = 2K L. The marginal product of capital is 2L, and the marginal product of labor is 2K. Assume that capital rents for $100 per unit per day, that labor can be hired for $200 per unit per day, and that the firm is minimizing costs. a. The firm will hire units of labor and - units of capital. b. What is the total cost of producing 60 units of output?...
A firm is unlikely to hire a worker if: A. the additional output a firms gets...
A firm is unlikely to hire a worker if: A. the additional output a firms gets by hiring the worker is greater than his or her wage. B. there are diminishing marginal returns to labor. C. the minimum wage set by law is less than the equilibrium wage in the market. D. the additional revenue generated by hiring the worker is less than his or her wage. In a competitive labor market, the equilibrium wage rate is determined by: A....
Q1 [30 points] Show in a diagram using isoquants that a production function can have diminishing...
Q1 [30 points] Show in a diagram using isoquants that a production function can have diminishing marginal return to a factor and constant returns to scale? With the help of a diagram explain the concepts of "isoquant", "diminishing marginal return to a factor", and "constant returns to scale". What are the similarities and differences between indifference curves and isoquants. Q2 [30 points Assume that a firm has a fixed-proportions production function, in which one unit of output is produced using...
Problem 1 Your firm produces output of some generic manufactured good Q according to the following...
Problem 1 Your firm produces output of some generic manufactured good Q according to the following production function: Q(L,K) = 2L1/451/2 Assume the wage paid to labor is $10, the rental rate of capital is $40, and the price of your product is $200. (a) What is the technical rate of substitution for this production function? (b) Suppose you have 80 units of capital in the short run. Find the profit maximizing amount of labor you should employ. (c) Find...
Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two...
Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two inputs of production; each unit of labor is paid the market wage (w), and each unit of capital is rented at the rental price of capital (r). Output (Y) is therefore a function of labor and capital, or Y = f (K, L), and is sold at the market price (P). The goal of this firm is to maximize profit given the price of...
A firm can manufacture a product according to the production function: Q = F(K, L) =...
A firm can manufacture a product according to the production function: Q = F(K, L) = K3/4L1/4. Instruction: Enter your responses rounded to three decimal places. a. Calculate the average product of labor, APL, when the level of capital is fixed at 81 units and the firm uses 16 units of labor. ____ What is the average product of labor when the firm uses 256 units of labor? ____ Instruction: The second response is the exponent on L in the...
2. To produce 18 units of output a firm can hire either 9 workers or 3 machines. a. Let L denote workers and K denote machines. Write down a production function that represents this firm's production technology. (2 points) b. Let w denote the wage rate and r denote the rental rate of capital. Suppose wir = 0.4. Derive the firm's long run factor demand functions for labor and capital and the firm's long run cost function. (4 points) C....
Suppose a firm has the following production function: Q = 2K L. The marginal product of capital is 2L, and the marginal product of labor is 2K. Assume that capital rents for $100 per unit per day, that labor can be hired for $200 per unit per day, and that the firm is minimizing costs. a. The firm will hire units of labor and - units of capital. b. What is the total cost of producing 60 units of output?...
Q1 [30 points] Show in a diagram using isoquants that a production function can have diminishing marginal return to a factor and constant returns to scale? With the help of a diagram explain the concepts of "isoquant", "diminishing marginal return to a factor", and "constant returns to scale". What are the similarities and differences between indifference curves and isoquants. Q2 [30 points Assume that a firm has a fixed-proportions production function, in which one unit of output is produced using...
Problem 1 Your firm produces output of some generic manufactured good Q according to the following production function: Q(L,K) = 2L1/451/2 Assume the wage paid to labor is $10, the rental rate of capital is $40, and the price of your product is $200. (a) What is the technical rate of substitution for this production function? (b) Suppose you have 80 units of capital in the short run. Find the profit maximizing amount of labor you should employ. (c) Find...
Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two inputs of production; each unit of labor is paid the market wage (w), and each unit of capital is rented at the rental price of capital (r). Output (Y) is therefore a function of labor and capital, or Y = f (K, L), and is sold at the market price (P). The goal of this firm is to maximize profit given the price of...
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