Question: Write a linear program for the following problem. Do not solve. Every student at George B. Dantzig High School can join one or more

Write a linear program for the following problem. Do not solve. Every student at George B. Dantzig High School can join one or more of three clubs: Athletics Club, Book Club, and Chess Club. A school rule dictates that at least of the members of a club must be "dedicated members" that are not part of any other club. If there are 1000 students total, what is the maximum number of students that can be part of all three clubs?

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