Question on game theory

[Bruce D]

Let us say that I am straight forward, but weak player. Let us assume that I will only pfr AA and AK.

Let us say that on a dry board or draw heavy board, I always raise a bettor in front with AA.

Let us say that if I had AK, I would never raise.

I would therefore be turning my cards face up for a villian who is paying attention to my actions.

There are 16 combos for AK, and 6 for AA. Would it therefore be optimal to play 5 of my AK hands like I would AA? I merely took (16+6)/2 and I get 11. I took this as I should play 11 of my AK normally and screwplay 5 of them?

Is this a valid idea? I understand that we have to mix it up, but I am looking for optimization in a vacuum.