Consider a bar that has a limited capacity of 30 people. The bar has an entrance fee of $5/person. People arrive to this bar at a rate of 4/hour. The time each person spends in the bar follows an exponential distribution with rate µ. Suppose it costs 3µ per hour for this bar to provide service to the customers. Find µ that maximizes the benefit of this bar.

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this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

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