Ok, more information is good.
If you intend to feed both pieces of equipment from the 20a breaker then your combined load will be the key. You should be able to find the amps on the nameplates of the equipment in question.
I would not install both pieces of equipment on the same circuit if their combined load exceeds the load allowed, by the NEC. It is legal to install multiple pieces of equipment on a given circuit, but the installation must meet the requirements of the NEC. The managers word about equipment useage - is not an exception to the NEC or a disclaimer for possible injury to people and damage to property.
