var Y1;
var Y2;

minimize cost: 12 * Y1 + 10 * Y2;

subject to resource_constraint_1: 3*Y1 + 5*Y2 >= 15;
subject to resource_constraint_2: 4*Y1 + 2*Y2 >= 8;

subject to nonnegative_Y1: Y1 >= 0;
subject to nonnegative_Y2: Y2 >= 0;