Question

how could implementing a quota system help prevent
the tragedy of the commons in a grazing area?
by increasing the number of cattle allowed per rancher
by allowing unrestricted grazing for everyone
by removing all cattle from the grazing area
by limiting the number of cattle each rancher can graze

Explanation:

The Tragedy of the Commons occurs when individuals overuse a shared resource. A quota system for grazing would prevent overgrazing by limiting how many cattle each rancher can graze. Increasing cattle per rancher (first option) or allowing unrestricted grazing (second option) would worsen the tragedy. Removing all cattle (third option) is not a practical solution for a grazing area meant for cattle. So the correct approach is limiting the number of cattle each rancher can graze.

Answer:

by limiting the number of cattle each rancher can graze