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Why is a firm's profit maximized when MC=MR? Why not stop one unit before where it will still make a profit?

Since your question is posed in terms of a firm producing discrete units of a quantity, the answer has to take this discreteness into account. With discrete units, "marginal" refers to the ...
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Why is a firm's profit maximized when MC=MR? Why not stop one unit before where it will still make a profit?

Because profit is maximized at MC=MR. If MC<MR, then firm could still earn more profit by producing little bit more. Also firms do earn positive profit at point where MC=MR. Practical example: Firm ...
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Why is a firm's profit maximized when MC=MR? Why not stop one unit before where it will still make a profit?

We note that until MC actually meets MB, all production is profitable (by logic you've already seen). Since we agree you want to produce everything up until MC=MB, let's point out that might occur in ...
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