* Test problem 10.1.2 in the web page
* Test problem 10.2.2. in test problem collection
* Test problem from Cottle et al 1992
* This program finds solution 1 of the multiple solutions

SETS J /1*2/;

alias(I,J);

PARAMETER M(I,J) matrix/

1.1 1.
1.2 1.
2.1 1.
2.2 1.
/;

PARAMETER q(j) vector/

1 -1.
2 -1.
/;

VARIABLES x(J);
EQUATIONS eq(I);

eq(I).. sum(J, M(I,J)*x(J)) + q(i) =e= 0.0;
MODEL COTTLE /eq.x/;
x.lo(J) = 0.0;

SOLVE COTTLE using mcp;