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Q1) County Museum is planning fund-raising dinner. Initial plan was to charge $100/ticket. Catering costs would be $40/plate.  Rent of facility would be $4,000 for event, and paid staffers (not counting volunteers) would cost $1,000. String quartet would give dinner music for $2,000. It is expected that 400 persons would attend this dinner.

New plan has been put forward for more deluxe event, with tickets costing $160. Catering for more elaborate dinner would run $70/plate.  Bigger \"name\" entertainment would be hired instead of strings, costing $5,000.  Paid staff would double to give better service. How many tickets should be sold for more deluxe event in order for it to yield same profit as original plan?

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