Contemplation - is there an end?

In our reading and discussion concerning the contemplative life, I became curious as to just how the ultimate happiness can be a constant contemplation. I thought, if the contemplative life is the happiest, should there not be an end? But there must be an end in order for something to be virtuous. But what of something that never sees its end, or takes an indefinitely long amount of time, so that the end can never be achieved (such as in the case of the contemplative life)? Aristotle poses a similar question, but one that has a different aim;

“…Ought one to assume that our chosen task has its end? Or, as has been said, is the end in matters of action not contemplating and knowing each of them but rather doing them?” (1179a 36 – 1179b 2)

I interpret this question to be more about what the contemplation would be used for, or what one should do instead of contemplation. I am instead asking if and/or how contemplation comes/can come to an end, or if there is an end. Aristotle goes on to say that actions get in the way of contemplation, but humans must take part in actions because they are mortal and need to work and eat. I have come to the conclusion that while actions have conceivable and attainable ends, they therefore come to an end and are not as fulfilling toward a state of being-at-work as contemplation is.