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A binary variable can be introduced to a mixed integer program to allow for a “threshold...

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Advance Math

A binary variable can be introduced to a mixed integer programto allow for a “threshold constraint.” A threshold constraint saysthat if any units are used, at least a specified minimum amountmust be used. Define X as the number of students that will go on aplanned field trip. The school will rent a bus only if at least 20students plan to go on the trip. Define Y as a binary variable thatequals 1 if X is nonzero, and equals 0 if X is zero (i.e., ifnobody goes on the trip). If M represents a very large number, whattwo constraints can be added to the mixed integer program to ensurethat if any students go on the field trip, at least 20 have togo?

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A binary variable    See Answer
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