Suppose the Economics Department has a graduation party for its students but as a final test they must show they have learned something about trade. Students in group A are given food (F) when they walk in, and students in group B are given a drink (D). Refer to Scenario 1. Suppose that all members of both groups have identical preferences where food and drink provide utility U = FαDβ. The exchange would be such that (a) both would be guaranteed to be better off than when they entered. (b) both would be guaranteed to be at least as well off as when they entered. (c) students in group A would end up with more utility. (d) students in group B would end up with more utility.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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  1. Suppose the Economics Department has a graduation party for its students but as a final test they must show they have learned something about trade. Students in group A are given food (F) when they walk in, and students in group B are given a drink (D).

    Refer to Scenario 1. Suppose that all members of both groups have identical preferences where food and drink provide utility U = FαDβ. The exchange would be such that

    (a) both would be guaranteed to be better off than when they entered.
    (b) both would be guaranteed to be at least as well off as when they entered.

    (c) students in group A would end up with more utility.

    (d) students in group B would end up with more utility.

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