Explain which the county is considering to lease, Operation Management

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A private prisoner-transfer facility would lease for $50,000 per year, which the county is considering to lease. It estimates it will cost $50 per prisoner to process the paperwork at this new location. The county is paid a $75 commission for each new prisoner it processes. How many prisoners would they have to process annually to make a profit of $100,000 at this new location?

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