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So why should that be the case?
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In fact in this example it is the case.
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Well why is it the case?
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Because there's constant marginal utility of Y,
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so we don't have to worry about the Y allocation at all because
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if you increase Y^ and decrease Y^ they still have
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to add up to 6,000.
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You're going to be lowering A's utility and raising B's utility
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by the same amount so you won't have changed the sum of utilities.
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So the Y's are totally irrelevant to this maximizing
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the sum of utilities.
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So all we have to do is make sure that the X allocation,