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Part $1$

Tim$$ Urban, owner$/$manager of$$ Urban's Motor Court in Key$$ West, is considering outsourcing the daily room cleanup for his motel to$$ Duffy's Maid Service. Tim rents an average of $50$ rooms for each of $365$ nights$(365\backslash$times $50$ equals the total rooms rented for the$$ year$).$ Tim's cost to clean a room is $ $13\mathrm{.}50.$ The$$ Duffy's Maid Service quote is $ $18\mathrm{.}00$ per room plus a fixed cost of $ $25$ comma $000$ for sundry items such as uniforms with the$$ motel's name.$$ Tim's annual fixed cost for$$ space, equipment, and supplies is $ $60$ comma $000.$

Part $2$

Based on the given information related to costs for each of the$$ options, the crossover point for Tim$=$

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enter your response here room nights $($round your response to the nearest whole $$number$).$