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You have to organize a charitable christmas dinner for 100 guests to benefit underpriviliged children. To raise funds you plan a lottery for the guests.

You have to organize a charitable christmas dinner for 100 guests to benefit underpriviliged children. To raise funds you plan a lottery for the guests. The prizes are as follows: first prize $1000,two second prizes $500 each. How much should you charge for a ticket if you know that your guests' mathematical expectation should be negative $40 to ensure the sale of all 100 tickets.

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