var X1; var X2; maximize Profit: 15 * X1 + 8 * X2; subject to resource_constraint_1: 3*X1 + 4*X2 <= 12; subject to resource_constraint_2: 5*X1 + 2*X2 <= 10; subject to resource_constraint_3: 7*X1 + 3*X2 <= 15; subject to nonnegative_X1: X1 >= 0; subject to nonnegative_X2: X2 >= 0;