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.

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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.
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.
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