Suppose that a firm’s production function is q =L0.5K0.5. This means that the marginal rate of technical substitution is K/L.The cost of a unit of labour is $20 and the cost of a unit of capital is $80. The firm wants to produce 50 units of output. If both capital and labour are variable, how many units of labour (L) and how many units of capital (K) should be hired in the long run? A. K = 25, L =100 B. K = 10, L = 100 C. K = 25, L =10 D. K = 7, L = 28
Suppose that a firm’s production function is q =L0.5K0.5. This means that the marginal rate of technical substitution is K/L.The cost of a unit of labour is $20 and the cost of a unit of capital is $80. The firm wants to produce 50 units of output. If both capital and labour are variable, how many units of labour (L) and how many units of capital (K) should be hired in the long run? A. K = 25, L =100 B. K = 10, L = 100 C. K = 25, L =10 D. K = 7, L = 28
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.3P
Related questions
Question
-
Suppose that a firm’s production function is q =L0.5K0.5. This means that the
marginal rate of technical substitution is K/L.The cost of a unit of labour is $20 and the cost of a unit of capital is $80. The firm wants to produce 50 units of output. If both capital and labour are variable, how many units of labour (L) and how many units of capital (K) should be hired in the long run?A. K = 25, L =100B. K = 10, L = 100C. K = 25, L =10D. K = 7, L = 28
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Economics:](https://www.bartleby.com/isbn_cover_images/9781285859460/9781285859460_smallCoverImage.gif)
![Economics:](https://www.bartleby.com/isbn_cover_images/9781285859460/9781285859460_smallCoverImage.gif)
![Micro Economics For Today](https://www.bartleby.com/isbn_cover_images/9781337613064/9781337613064_smallCoverImage.gif)
![Economics For Today](https://www.bartleby.com/isbn_cover_images/9781337613040/9781337613040_smallCoverImage.gif)
![Survey Of Economics](https://www.bartleby.com/isbn_cover_images/9781337111522/9781337111522_smallCoverImage.gif)