Question

For the answer, as we know, we can find AC min by using AC=MC. thus AC min=200. I am curious why the answer is not when P>=200, Supply function=P/2, and whenP<=200, Supply function=0

Another question, given that Total cost=2Q, find AC min. Since AC=2 and MC=2, by using the formula, AC=MC, what is the AC min?

Answer 1

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So the minimum price of 200, is correct for supply curve, if we need supply curve for long run.

So your logic & reasoning will be correct for long run case only .

TC is not 2Q, rather 10000+Q^{​​​​​​2}