Question

In: Economics

Your firm is using 300 units of labor and 2000 units of capital to produce 5000...

Your firm is using 300 units of labor and 2000 units of capital to produce 5000 units of output. If you hired an additional unit of labor output would increase by 10 units. An extra unit of capital would add 25 units of output. The wage rate is $10 per hour, and the rental rate is $50.

  1. What are the marginal products of labor and capital per dollar?
  2. Is your firm producing at the lowest possible cost? How do you know?
  3. What should the firm do to minimize the cost of producing 5000 units of output?
  4. What would happen to MPL and MPK?

Solutions

Expert Solution

Please give ratings it will be appreciable thank you


Related Solutions

The firm is currently using 900 units of labor and 150 units of capital to produce...
The firm is currently using 900 units of labor and 150 units of capital to produce 200,000 units of output. At this combination the marginal product of labor is 25 and the marginal product of capital is 60. The price of labor is $50 and the price of capital is $30. a. The MP per dollar of labor is _________ and the MP per dollar of capital is _________. b. The firm can increase capital by one unit and decrease...
2. A firm is required to produce 234 of output using quantities of labor and capital...
2. A firm is required to produce 234 of output using quantities of labor and capital (L, K) = (21, 6) . For each of the following production functions, state whether it is possible to produce the required output with the given input combination. If it is possible, state whether producing Q = 234 with input combination is technically efficient or inefficient. (a) Q = 8L + 7K (b) Q=3KL+L-4 (c) Q=9√KL (d) Q= min{2L, 25K}
A firm has a possibility to produce output using either one or two units of capital....
A firm has a possibility to produce output using either one or two units of capital. Capital costs $10 per unit. Labor is always variable. If it uses 1 unit of capital, marginal cost is constant (no diminishing returns) at $3. If it uses 2 units of capital, marginal cost is constant at $1. For the output quantities of 1 to 10, create the firm’s short run average total cost curves. Also create the firm’s long-run average total cost curve....
A firm discovers that when it uses K units of capital and L units of labor...
A firm discovers that when it uses K units of capital and L units of labor it is able to       produce q=4K^1/4 L^3/4 units of output. Continue to assume that capital and labor can be hired at $40 per unit for labor and $10 for capital. In the long run if the firm produces 600 units of output, how much labor and capital will be used and what is the LR Total cost of production?
A firm discovers that when it uses K units of capital and L units of labor...
A firm discovers that when it uses K units of capital and L units of labor it is able to       produce q=4K^1/4 L^3/4 units of output. a) Calculate the MPL, MPK and MRTS b) Does the production function (q=4K^1/4 L^3/4) exhibit constant, increasing or decreasing returns to scale and why? c) Suppose that capital costs $10 per unit and labor can each be hired at $40 per unit and the firm uses 225 units of capital in the short run....
Suppose your firm uses 2 inputs to produce its output: K (capital) and L (labor). the...
Suppose your firm uses 2 inputs to produce its output: K (capital) and L (labor). the production function is q = 50K^(1/2)L^(1/2). prices of capital and labor are given as r = 2 and w = 8 a) does the production function display increasing, constant, or decreasing returns to scale? how do you know and what does this mean? b) draw the isoquants for your firms production function using L for the x axis and K for y. how are...
A firm produces output using capital (K) and labor (L). Capital and labor are perfect complements...
A firm produces output using capital (K) and labor (L). Capital and labor are perfect complements and 1 unit of capital is used with 2 units of labor to produce 1 unit of output. Draw an example of an isoquant. If wages and rent are $2 and $3, respectively, what is the Average Total Cost? A firm has a production function given by Q=4KL where K, L and Q denote capital, labor, and output, respectively. The firm wants to produce...
A firm uses two inputs, labor and capital, to produce a good. To keep up with...
A firm uses two inputs, labor and capital, to produce a good. To keep up with the story, let zℓ ≥ 0 denote the units of labor and zk ≥ 0 the units of capital. The firm’s technology is expressed as a production function f(zℓ, zk) = 20 z1/5 ℓ z3/5 k . Let w > 0 and r > 0 be the cost of hiring a unit of labor and a unit of capital, respectively. (a) Find the technical...
A firm is currently producing 100 widgets using 4 units of labor and 12 units of...
A firm is currently producing 100 widgets using 4 units of labor and 12 units of capital. The firm's production function exhibits constant returns to scale. How many units of labor and capital are needed to produce 350 widgets?
A firm manufactures at home, and faces input prices for labor and capital produces q units...
A firm manufactures at home, and faces input prices for labor and capital produces q units of output using L units of labor and K units of capital. Abroad, the wage and cost of capital are half as much as at home. If the firm manufactures abroad, will it change the amount of labor and capital it uses to produce q? What happens to its cost of producing quantity q? The manager would also like you to explain the Cobb...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT