Question #3 (this involves the idea of labor and capital) PLEASE TYPE OUT THE ANSWER
A firm produces output using the technology:
Q = 5K0.33L0.5
where capital, K, is measured in machine-hours, labor, L, is measured in person-hours, and Q denotes the yearly output. The hourly wage rate in the United States WL = $10, and the hourly rental rate of capital (IN EFFECT CAPITAL COSTS $2 PER MACHINE HOUR) is WK = 2 and the Price is $10.
Question #3 (this involves the idea of labor and capital) PLEASE TYPE OUT THE ANSWER A...
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 positive economic models of the labor market, it is assumed that workers maximize utility (happiness). firms maximize profits. resources are scarce. all of these are true. 2 points QUESTION 13 Because of the principle of __________, marginal product of labor decreases as labor increases. economies of scale. diseconomies of scale. diminishing returns. constant returns to scale. 2 points QUESTION 14 The unemployment rate is computed as the number of employed divided labor force. the number of unemployed...
A firm uses capital and labor to produce output according to the production q = 4VLK (a) Find the marginal product of labor (MPL) and marginal product of capital (MPK). (b) If the wage w=$1/labor-hr. and the rental rate of capital r-$4/machine-hr., what is the least expensive way to produce 16 units of output? (c) What is the minimum cost of producing 16 units? (d) Show that for any level of output, q, the minimum cost of producing q is...
28) The law of diminishing returns, as it applies to labor, means that A) the marginal product of labor will eventually be a horizontal line at zero. B) the average product of labor starts to decline before the marginal product of labor. C) total output eventually decreases. D) the average product of labor increases at a decreasing rate. E) the marginal product of labor eventually decreases as more labor is added with capital held fixed. 29) A firm's short-run labor...
Acme Container Corporation produces egg cartons that are sold to egg distributors. Acme has estimated this production function for its egg carton division: Q = 25L0.6K0.4, where Q = output measured in one thousand carton lots, L = labor measured in person hours, and K = capital measured in machine hours. Acme currently pays a wage of $10 per hour and considers the relevant rental price for capital to be $25 per hour. i) The marginal product of...
Consider a firm that faces the following production function: q = f(L, K) = L1/2 K1/2 where q is output, L is labor, and K is capital. Use this production function to answer the following questions. (a) What is the marginal product of labor (MPL)? (b) Does the MPL follow the law of diminishing returns? How do you know? (c) What is the marginal product of capital (MPK)? (d) Does the MPK follow the law of diminishing returns? How do...
Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function of the form: q = 5LK+K+L where q is units per day, L is units of labor input and K is units of capital output. The marginal product of the two inputs are: MPL = 5K+1, MPK = 5L +1. Price per unit of labor: w= $15, price per unit of capital: v= $15. Both labor and capital are variable. a. Write down the...
QUESTION 10 Acme Eggs produces eggs. Acme has estimated this production function for its eggs: Q = 10L".SK.) The marginal product of labor is given by MPL =5L-0.5 K.S and the marginal product of capital is given by MPx=520.5 -0.5 where Q = output measured in eggs, L = labor measured in person hours, and K = capital measured in machine hours. Acme currently pays a wage of $15 per hour and considers the relevant rental price for capital to...
The production function of the Auto parts firm is given by Q-5L-L, where Q is the units of output and L is the number of labor hours. Each output sells for 100 dollars per unit. The human resources manager estimates that the marginal cost of hiring an extra worker is 50 dollars. How many labor hours should this firm hire? Hint: MPL=5-2 L 1) 2) A frim's production function is given by Q(L)-6L, where Q measures output and L is...
Please show all work. Problem #3: Long-Run Labor Demand and Factor Substitutability Suppose there are two inputs in the production function, labor (L) and capital (K), which carn be combined to produce Y units of output according to the following production function: Y = 30K + 10L The firm wants to produce 600 units of output. 1. Draw the isoquant that corresponds to that level of production (600 units) in a graph that has L on the horizontal axis and...