set Points;
param x{Points};
param y{Points};
var a1;
var a0;
var z{Points};
minimize obj: sum{i in Points} z[i];
s.t. c1{i in Points}: z[i] >= y[i]-(a1*x[i]+a0);
s.t. c2{i in Points}: z[i] >= -y[i]+(a1*x[i]+a0);
data;
set Points := 1 2 3 4 5 6 7 8 9 10;
param: x y :=
1 1 5
2 2 4
3 3 7
4 4 6
5 5 5
6 6 8
7 7 10
8 8 7
9 9 9
10 10 11 ;
