Suppose that the production function for Hannah and Sam's home remodeling business is Q = F(L,K)...
Suppose that the production function for Hannah and Sam's home remodeling business is Q = F(L,K) Q = 10L0.2K0.3. Assume the wage rate is $1,000 per week and the cost of renting a unit of capital is $2,000 per week. a. What is the least-cost input combination for remodeling 100 square feet each week? b. What is the total cost?
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Suppose that the production function for Hannah and Sam's home
remodeling business is Q = F(L,K)...
4. (35 points) Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of...
4. (35 points) Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they can remodel in a week is described by the Cobb- Douglas production function Q = F(L, K) = 10L0.5Kos where L is their number of workers and K is units of capital. The wage rate is $1000, and a unit of capital costs Hannah and Sam $1000 per week. (a) (10 points) Graph the isoquants F(L, K) = 10 and F(L,...
Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they...
Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they can remodel in a week is described by the Cobb-Douglas production function Q=F(L,K) Q=10L0.5K0.5, where L is their number of workers and K is units of capital. The wage rate is $200 per week and a unit of capital costs $200 per week. Suppose that when initially producing 100 square feet a week, they use 10 units of capital. a. What is their short-run...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of workers and k is units of capital.mrtslk is k/l. the wage rate is $900 per week, and a unit of capital costs $400 per week. what is the least cost input combination for producing 675 units of output?
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of workers and k is units of capital.mrtslk is k/l. the wage rate is $900 per week, and a unit of capital costs $400 per week. assuming no fixed cost, what is the firm's total cost of production if it uses least-cost input combination to produce 675 units of output?
1. Suppose the production of digital cameras is characterized by the production function q F(K, L)- KL (MPL = K, MPK = L), where q represents the number of digital cameras produced. Suppose that...
1. Suppose the production of digital cameras is characterized by the production function q F(K, L)- KL (MPL = K, MPK = L), where q represents the number of digital cameras produced. Suppose that the price of labor is $10 per unit and the price of capital is S1 per unit. (a) Graph the isoquant for q-121 000. (b) On the graph you drew for part a), draw several isocost lines including one that is tangent to the isoquant you...
A firm produces output according to the production function: Q = F(K,L) = 2K + 2L....
A firm produces output according to the production function: Q = F(K,L) = 2K + 2L. a. How much output is produced when K = 2 and L = 3? b. If the wage rate is $65 per hour and the rental rate on capital is $35 per hour, what is the cost-minimizing input mix for producing 4 units of output? Capital: Labor:
A firm has a Cobb-Douglas production function of Q = K^(0.25) L^(0.75) (a) Does this production...
A firm has a Cobb-Douglas production function of Q = K^(0.25) L^(0.75) (a) Does this production technology exhibit increasing, constant, or decreasing returns to scale? (b) Suppose that the rental rate of capital is r = 1, the wage rate is w = 1, and the ?rm wants to produce Q = 3. In the long-run, what combination of L and K should they use? (It would be good to practice doing this with the Lagrangian, even if you can...
A hamburger company produces hamburgers according to the production function Q = F(K,L) = 4K +...
A hamburger company produces hamburgers according to the production function Q = F(K,L) = 4K + 8L. 2 a. How many hamburgers are produced when K = 2 and L = 3? b. If the wage rate is $60 per hour and the rental rate on capital is $20 per hour, what is the cost-minimizing input mix for producing 32 units of hamburgers? c. How does your answer to part b change if the wage rate decreases to $20 per...
Suppose that the production function for widgets is Q = g(L,K) = 1L + 2K, and...
Suppose that the production function for widgets is Q = g(L,K) = 1L + 2K, and that the cost of one unit of capital is more than double the cost of one unit of labour. If a producer wishes to minimize his or her cost of producing 200 widgets, what combination of labour and capital should the producer use in production? Explain.
9. A firm produces output according to a production function Q = F(K,L) min [2K,4L]. a....
9. A firm produces output according to a production function Q = F(K,L) min [2K,4L]. a. How much output is produced when K-2 and L = 3? b. If the wage rate is $30 per hour and the rental rate on capital is $10 per hour, what is the cost-minimizing input mix for producing 4 units of output? How does your answer to part b change if the wage rate decreases to $10 per hour but the rental rate on...
4. (35 points) Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they can remodel in a week is described by the Cobb- Douglas production function Q = F(L, K) = 10L0.5Kos where L is their number of workers and K is units of capital. The wage rate is $1000, and a unit of capital costs Hannah and Sam $1000 per week. (a) (10 points) Graph the isoquants F(L, K) = 10 and F(L,...
1. Suppose the production of digital cameras is characterized by the production function q F(K, L)- KL (MPL = K, MPK = L), where q represents the number of digital cameras produced. Suppose that the price of labor is $10 per unit and the price of capital is S1 per unit. (a) Graph the isoquant for q-121 000. (b) On the graph you drew for part a), draw several isocost lines including one that is tangent to the isoquant you...
9. A firm produces output according to a production function Q = F(K,L) min [2K,4L]. a. How much output is produced when K-2 and L = 3? b. If the wage rate is $30 per hour and the rental rate on capital is $10 per hour, what is the cost-minimizing input mix for producing 4 units of output? How does your answer to part b change if the wage rate decreases to $10 per hour but the rental rate on...
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