Consider a production model with labor and capital inputs. There are constant returns to scale overall....
Consider a production model with labor and capital inputs. There are constant returns to scale overall.
If M P
K > r > 0 and
M P
L > w > 0, the firm
Group of answer choices
should hire more capital until
has the optimal amount of labor
should get rid of some capital until
should get rid of some capital until
should hire more capital until
Homework Answers
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Consider a production model with labor and capital inputs. There
are constant returns to scale overall....
A production function exhibits constant returns to scale if: Doubling all inputs delivers exactly twice the...
A production function exhibits constant returns to scale if: Doubling all inputs delivers exactly twice the output. Doubling all inputs delivers exactly more than twice the output. Doubling all inputs delivers exactly less than twice the output. none of the above The marginal product of capital (MPK) is: The additional unit of output that is produced when both labor and capital are increased by one unit. The additional output that is produced when there is technological improvement. The additional output...
Acme produces anvils using labor (L) and capital (K) according to the production function Q= f(L,K)=LK...
Acme produces anvils using labor (L) and capital (K) according to the production function Q= f(L,K)=LK with associated marginal products MPL=K, MPK =L. The price of labor is w=2 and the price of capital is r=1. Does Acme's production function for anvils exhibit increasing, constant or decreasing returns to scale? Justify your answer
Consider a production function of three inputs, labor, capital, and materials, given by Q= LKM
Consider a production function of three inputs, labor, capital, and materials, given by Q= LKM. The marginal products associated with this production function are as follows: MPL = KM, MPk = LM, and MPM = LK. Let w = 5, r = 1, and m = 2, where m is the price per unit of materials. (a) Suppose that the firm is required to produce Q units of output. Show how the cost-minimizing quantity of labor depends on the quantity Q....
Competitive Firms - Optimal Labor and Capital 1. A competitive firm has production technology q A...
Competitive Firms - Optimal Labor and Capital
1. A competitive firm has production technology q A K La. lt can sell output at price P and hire capital and labor at competitive factor prices r and w. Write down the firm's profit maximization problem. What are the firm's first- order necessary conditions for a maximum. a. w Suppose now that α-,P-1 and -1. b. What is the firm's optimum capital labor-intensity? Why can't the optimum scale of production q be...
Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function...
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...
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...
The production function of the Auto parts firm is given by Q-5L-L, where Q is the...
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...
What returns to scale does this production function have? Q = L + K Q =...
What returns to scale does this production function have? Q = L + K Q = 50LK; • w = per unit cost of labor; • r = per unit cost of capital Use MPL ... (1) & Q = 50LK .... (2) to find out mathematical expressions of L*, K*and TC(Q,w,r) = wŁ* + rK*
4. Proving constant returns to scale A production function expresses the relationship between inputs, such as...
4. Proving constant returns to scale A production function expresses the relationship between inputs, such as capital (K) and labor (L), and output (Y). The following equation represents the functional form for a production function: 9=f(K, L). If a production function exhibits constant returns to scale, this means that if you double the amount of capital and labor used, output is twice its original amount. more than Suppose the production function is as follows: less than equal to f( KL)=5K+9L...
AutoSave Off 2 O arch arch х Fi Home Insert Ivanligs Review IcW telp Share Comments...
AutoSave Off 2 O arch arch х Fi Home Insert Ivanligs Review IcW telp Share Comments 7 A) If a firm has a MPL = 10 and a MP= 15, and w=2 and 1=5, is the firm using a combination of inputs that will maximize profit? How do you know? Should the firm increase the quantity of capital or labor they are using? Determine the firm's optimal combination of labor and capital given the information below: Q= f(KL) = K05L0.5...
Competitive Firms - Optimal Labor and Capital
1. A competitive firm has production technology q A K La. lt can sell output at price P and hire capital and labor at competitive factor prices r and w. Write down the firm's profit maximization problem. What are the firm's first- order necessary conditions for a maximum. a. w Suppose now that α-,P-1 and -1. b. What is the firm's optimum capital labor-intensity? Why can't the optimum scale of production q be...
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...
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...
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...
What returns to scale does this production function have? Q = L + K Q = 50LK; • w = per unit cost of labor; • r = per unit cost of capital Use MPL ... (1) & Q = 50LK .... (2) to find out mathematical expressions of L*, K*and TC(Q,w,r) = wŁ* + rK*
4. Proving constant returns to scale A production function expresses the relationship between inputs, such as capital (K) and labor (L), and output (Y). The following equation represents the functional form for a production function: 9=f(K, L). If a production function exhibits constant returns to scale, this means that if you double the amount of capital and labor used, output is twice its original amount. more than Suppose the production function is as follows: less than equal to f( KL)=5K+9L...
AutoSave Off 2 O arch arch х Fi Home Insert Ivanligs Review IcW telp Share Comments 7 A) If a firm has a MPL = 10 and a MP= 15, and w=2 and 1=5, is the firm using a combination of inputs that will maximize profit? How do you know? Should the firm increase the quantity of capital or labor they are using? Determine the firm's optimal combination of labor and capital given the information below: Q= f(KL) = K05L0.5...
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