You want to build a factory your factory is composed of, Operation Management

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You want to build a factory your factory is composed of

You want to build a factory. Your factory is composed of several identical machines operating simultaneously. Each machine breaks down exactly once every month in day at random. Unfortunately, as long as one machine breaks down, you Deed to shut down the whole factory, wasting the whole production for that day. How many machines should your factory haw so that you maximize your exected output?

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