What function should I use to solve the inequality equations?

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for example:
{x1+x2=139 ;y1+y2=834 ; z1+z2=1390 } and
{12.5*x1+15*y1+14*z1<17000 ;
0.0286*x1+0.0315*y1+0.0297*z1<28.5 ;
12.5*x2+15*y2+14*z2<19500 ;
0.0286*x2+0.0315*y2+0.0297*z2<58}
all x1 x2 y1 y2 z1 z2 are positive integer

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