Clear View is a manufacturer of glass. It uses inputs of labor L (workers per week)...
There is a cupcake company. It produces cupcakes using workers and machines. Each week it produces 500 cupcakes. The production function is Q=2K^0.5L^0.5 where Q is the number of cupcakes, K is the number of machines, L is the number of workers. The wage for workers is $20 and the cost of machines is $10. What is the cost function What is the optimal ratio of workers to machines What is the minimum cost of producing 500 cupcakes. How many...
is measured in bushels. A firm uses two inputs to produce wheat per day, workers (L) and bed planters (K). Its production function is 9 - KL, where Bed planters are rented at $100 per day and each worker is hired at $50 per day. Suppose K is free to vary i. Derive the firm's long-run cost function. Show workings. 1. Compute the long-run average costs of producing 10 bushels. Show working Ill. Is this firm experiencing diseconomies of scale?...
1. There is a furniture manufacturer using labor (L) and capital (K) to produce tables. Its production function is given by q= 10L^.75 K^.40. It pays a wage of $5 per hour and rents capital at a rate of $15. The firm wants to find the cost-minimizing bundle of inputs to produce 10,000 tables. Assume K is on the y-axis in what follows. Write out the firm’s cost function. Calculate the firm’s isocost equation. What is the slope of the...
You manage a plant that mass-produces engines by teams of workers using assembly machines. The technology is summarized by the production function qequals=2020KL where q is the number of engines per week, K is the number of assembly machines, and L is the number of labor teams. Each assembly machine rents for requals=$50 comma 00050,000 per week, and each team costs wequals=$4 comma 0004,000 per week. Engine costs are given by the cost of labor teams and machines, plus $5...
Consider a firm using two inputs; capital (K) and labor (L) in production. The firm's production technology is characterized by the following production function: Q = F(K, L) = 40K L In the short run (SR), the quantity of the capital (K) that the firm uses is fixed at K = 10 whereas the quantity of the labor input can be varied. Price of labor is $4,000 per worker and the price of capital is $2,000 per capital. (PL=$4,000 and...
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 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?
You manage a plant that mass produces engines by teame of workers using assembly machines. The chrologie summarized by the production function - 10KL Where is the number of engines per week. Kis the number of assembly machines, and is the number of labor teams. Each assembly machinerents for re$10,000 per week, and each team costs w $8,000 per week Engine costs are given by the cost of labor teams and machines, plus $1,000 per engine for raw materials. Your...
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....
1. A firm uses labor and machines to produce output according to the production function f(L, M) 2L2 M , where L is the number of units of labor used and M is the number of machines. The cost of labor is $20 per unit and the cost of using a machine is $5. a. Suppose that the firm wants to produce its output in the cheapest possible way. Find the input demand functions for machines and workers. Please show...