Wheelchair IV rack

This is an idea so prosaic I almost hate to post it, but since I post everything else that pops into my head, here it goes.

While in the hospital, patients are often hooked to IV poles. These are solid enough to support little robot IV pumpers, and bags of IV juice. They usually have 4 or 5 castors so they can roll. When the patient must go for a wheelchair ride, this big pole must come with. Wheelchairs sometimes have little IV poles, but these cannot hold the IV pumper robots, and it is a pain in the butt to detach everything, then put it on the wheelchair, then back to a pole at the distination.

So: the transporter must push the wheelchair one handed and gimp the pole along with the other hand. They cannot get too far apart, pole and chair, because the IVs are hooked to the patient in the chair. It is cumbersome.

My proposal: a shelf slightly above floor level, hung beneath the chair. It would protrude backwards no farther than the chair handles. The IV poles could be lifted up and set onto this shelf. It would have forks to hold the poles in place. The transporter could then push chair and pole together.

If needed, the transporter could also wear a fake rubber butt and hurl flaming bags of pee.