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Please help me figer one idea. I can't understand that when in the Perfect Competition, MC = P is the profit maximization. Cause the way

Please help me figer one idea. I can't understand that when in the Perfect Competition, MC = P is the profit maximization. Cause the way I do it, is to get f(x) = TR-TC, and use f'(x*) = 0 to get the maximum profit. However, I check the answer, that use the MC = P to get the maximum profit and the number is the same as the way I do.

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