Emergency Heat rises overall heating bill?

[Donta Busch]

My question to the landlords and property managers is: 

A tenants in a 60 unit luxury apartment building heating unit has frosted over and now needs to be worked on, it was suggested by the HVAC person to start the emergency heat on so it can defrost. While the emergency heat was on for 3 days, it double the electric bill. (tenants pay their own electric bill) 

Should the building owner pay for the overage charges due to the emergency heat? Or should that fall on the tenant?