We are in an alternate universe where everything is almost exactly the same. The difference is that each person is born with a single plant. Plants cannot be grown or recreated in any way. The only plants in the universe are the ones each person is born with, detached from their body.
This plant provides enough oxygen for one person to be distributed among all people within 100 feet. So if there is only one plant and two people, they will slowly run out of oxygen and die. If there is one plant and 10 people, they will quickly run out of oxygen and die. If there are 100 plants in the same spot, and a single human 101 feet away, they will quickly suffocate.
The plants are average in that they require medium water, medium sunlight, medium soil, etc. The plants can die before their human counterpart if not taken care of. But if their human dies, the plant will die. Aside from this, there is no link between a specific human and their plant (aside from DNA testing).
If a person steals a plant, that stolen plant will provide them oxygen as long as they are within 100 feet of it, but if the theft leads to the suffocation and death of the plants owner, the plant will die.
Animals, including humans, have no need for food. But insects will eat plants.
What sort of organized crime would this create? How would the government control things differently?