Let's call the two forces exerted on the rope F1 and F2. We know that each force is 300 N.
The net force on the rope can be calculated using the following formula:
Fnet = F1 + F2
If the two people are pulling in opposite directions, then F1 and F2 have opposite signs, so:
Fnet = 300 N + (-300 N)
Simplifying:
Fnet = 0 N
So the net force on the rope is 0 N, which means that the rope is not accelerating.
The force exerted on each person by the rope is equal to 300 N, which is the magnitude of the force they are each exerting on the rope