Question: Given variables z , x 1 and x 2 , assume we have a function con - straint z = min { x 1 ,

Given variables z, x1 and x2, assume we have a function con-
straint z = min{x1, x2} with 0<= x1, x2<= C. Use the big M method to show that this
function constraint can be rewritten as a set of linear constraints for an MIP. What are the
minimum values of the M s you use? (Hint: Introduce an auxiliary binary variable)

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