When a net force is exerted upon a system of two interacting objects, the correct response is:
The total momentum can either increase or decrease.
This is because the net external force can change the momentum of the entire system. If the net force is in the direction of the velocity of the system, the momentum will increase; if it's in the opposite direction, the momentum will decrease. Therefore, the total momentum is not conserved when there is a net external force acting on the system.