LinearOptimization

LinearOptimization[f,cons,vars] finds values of variables vars that minimize the linear objective f subject to linear constraints cons.

LinearOptimization[c,{a,b}]  finds a real vector x that minimizes the linear objective c.x subject to the linear inequality constraints a.x+b⪰0.

LinearOptimization[c,{a,b},{aeq,beq}] includes the linear equality constraints aeq.x+beq0.

LinearOptimization[c,…,{dom1,dom2,…}] takes xi to be in the domain domi, where domi is Integers or Reals.

LinearOptimization[…,"prop"] specifies what solution property "prop" should be returned.

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