A lot depends on the temperature rise of your cold water source.  

Water heater pressure and temperature relief valves that discharge into indirect waste pipes.

Also, your lease may state that you are required to turn on the utilities in your name and keep temperatures set above or below a certain temp.

I wouldn't turn it off,  but I would raise it up to say 80.I have honeywell 9000 wifi thermostats so I can remotely adjust temperature.

Generally in a duplex you need a thermostat and an AC for each unit, unless there is a way for them to control the temperature another way.

Where is the thermostat that controls the temperature?

They need to wrap 3 large vehicles, and need a indoor temperature controlled place to do so.

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@Allison Park are you looking to split it to let each tenant control their temperature (which it sounds like they can already do), or pay for their own heat?

. - A long term theory - as the oceans rise from global temperatures rise, beach front property is going to become a bit less desirable.