Are these trick questions? 
Seriously, though, what do you mean by “perception,” “volition,” “imagine,” and “choose,” and how do you suppose the brain creates images “resembling what the outcomes might be?”
By ‘perception’ I mean just looking at something with the senses. But I would include certain introspective actions in this category (so some other ‘senses’ besides eyes, nose, etc. are used to introspect). For instance if I am remembering some concrete experience (like what my desk looks like) or imagining something in my head, the thing I am observing in my head is immediately given to me, just like looking at things in external reality in my immediate vicinity.
By ‘imagine’ I mean the usual meaning. There are some pictures appearing in the mind, for instance.
I guess I would say a thing has ‘volition’ if more than one course of action is possible from it under a given set of circumstances. External circumstances and past things not completely forcing it into one course of action. And a ‘choice’ must occur when it takes one of the possible actions.
Note that regarding images appearing in the mind we have some volitional control over them, but in other ways they are somewhat automatic (my mind seems like this anyway).
I don’t know anything about the physiology of the brain. But it does seem like concepts are not required for the brain to create images resembling what the outcomes would be. Because dogs and other higher animals can clearly anticipate the future consequences of their actions, at least a relatively short distance into the future, for a relatively simple course of action. Perhaps this is done by way of some visualization of what the outcome would be. Maybe animals minds are capable of generating images of possible outcomes (since my mind’s visualization functions seem to some degree automatic) and then the animal might choose its actions based on this. I don’t know.
And even if they are not capable of forming concepts like we are they can recognize some perceptual similarities/differences between things, like us.
I realize I’m speculating and maybe the reason Rand thought this is because of some knowledge of physiology/biology that she had that I lack. I would definitely be interested in hearing about experiments which claim to show animals have no volition. I don’t know what an experimental demonstration that an animal has no volition would consist of. I don’t know what an experimental demonstration that it does have volition would consist of either.