Consider a trade economy with two people (A and B) and two goods (1 and 2). Person A's utility function is U A = x1x2 where xi is A's consumption of good i € (1, 2). Person B's utility function is U B = y1 + y2, where yi is B's consumption of good i E (1, 2). There are 20 units of each good in the economy. Which of the following allocations are efficient? (a) x1 = 10, x2 = 10, y1 = 10, y2 = 10. (b) x1 = 7, x2 = 7, y1 = 13, y2 = 13. (c) x1 = 0, x2 = 0, y1= 20, y2 = 20. (d) x1 = 15, x2 = 10, y1 = 5, y2 = 10. (e) x1 = 12, x2 = 12, y1 = 6, y2 = 6.
Consider a trade economy with two people (A and B) and two goods (1 and 2). Person A's utility function is U A = x1x2 where xi is A's consumption of good i € (1, 2). Person B's utility function is U B = y1 + y2, where yi is B's consumption of good i E (1, 2). There are 20 units of each good in the economy. Which of the following allocations are efficient? (a) x1 = 10, x2 = 10, y1 = 10, y2 = 10. (b) x1 = 7, x2 = 7, y1 = 13, y2 = 13. (c) x1 = 0, x2 = 0, y1= 20, y2 = 20. (d) x1 = 15, x2 = 10, y1 = 5, y2 = 10. (e) x1 = 12, x2 = 12, y1 = 6, y2 = 6.
Chapter3: The Market And Price System
Section: Chapter Questions
Problem 14E
Related questions
Question
![Consider a trade economy with two people (A and B) and two goods (1 and 2). Person A's utility function
is U A = x1x2 where xi is A's consumption of good i E (1, 2). Person B's utility function is U B = y1 + y2,
where yi is B's consumption of good i = (1, 2). There are 20 units of each good in the economy. Which of
the following allocations are efficient?
(a) x1 = 10, x2 = 10, y1 = 10, y2 = 10.
(b) x1 = 7, x2 = 7, y1 = 13, y2 = 13.
(c) x1 = 0, x2 = 0, y1 = 20, y2 = 20.
(d) x1 = 15, x2 = 10, y1 = 5, y2 = 10.
(e) x1 = 12, x2 = 12, y1 = 6, y2 = 6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88ecc29a-a685-4a80-84dd-1f23402a8dc8%2F2b348865-b6ca-47a6-80e6-43a8fa1b9aa4%2F5hxpzzc_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a trade economy with two people (A and B) and two goods (1 and 2). Person A's utility function
is U A = x1x2 where xi is A's consumption of good i E (1, 2). Person B's utility function is U B = y1 + y2,
where yi is B's consumption of good i = (1, 2). There are 20 units of each good in the economy. Which of
the following allocations are efficient?
(a) x1 = 10, x2 = 10, y1 = 10, y2 = 10.
(b) x1 = 7, x2 = 7, y1 = 13, y2 = 13.
(c) x1 = 0, x2 = 0, y1 = 20, y2 = 20.
(d) x1 = 15, x2 = 10, y1 = 5, y2 = 10.
(e) x1 = 12, x2 = 12, y1 = 6, y2 = 6.
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)
![Survey Of Economics](https://www.bartleby.com/isbn_cover_images/9781337111522/9781337111522_smallCoverImage.gif)
![Micro Economics For Today](https://www.bartleby.com/isbn_cover_images/9781337613064/9781337613064_smallCoverImage.gif)
![Economics:](https://www.bartleby.com/isbn_cover_images/9781285859460/9781285859460_smallCoverImage.gif)
![Survey Of Economics](https://www.bartleby.com/isbn_cover_images/9781337111522/9781337111522_smallCoverImage.gif)
![Micro Economics For Today](https://www.bartleby.com/isbn_cover_images/9781337613064/9781337613064_smallCoverImage.gif)
![MACROECONOMICS FOR TODAY](https://www.bartleby.com/isbn_cover_images/9781337613057/9781337613057_smallCoverImage.gif)
![Economics For Today](https://www.bartleby.com/isbn_cover_images/9781337613040/9781337613040_smallCoverImage.gif)