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this isn't the only way to do it--I'm sorry 150
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--this isn't the only way that we could do it,
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we could also set up a Lagrangian equation,
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but for those people who don't know what that is,
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don't worry we're going to plug in today.
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So we're going to plug this in, and when we plug it in,
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we get a right old mess but let's do it anyway.
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So we're going to get max Q1, [A - B Q1--B [[A - C]/2B - Q1/2] - C] Q1
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Everyone okay with that?
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I'm doing algebra on the board which is not fun
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but it's useful to do occasionally.
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So eventually what are we going to do?