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It's just obvious from the first order conditions,
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from this marginal utility conditions,
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they're called first order conditions,
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from this equating marginal utilities.
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That was the crucial trick.
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So that's a trick that you have to internalize and from now on
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that's all you have to know that C's going to spend 3 quarters of
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his money on X, 1 quarter of his money on Y and
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D's going to spend 2 thirds of her money on X and 1 third on Y,
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but supply has to equal demand.
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What is C?
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What is he actually buying?