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  ;