Look you're just wrong, and trying to insult people isn't going to change that.
The "initial value" in this function is NOT a constant, because the LTD tie ratio is a cumulative average over time. This is not a simple linear function, as you seem to be assuming. As the total user base expands, and you're averaging over a larger base, the contribution of the initial tie ratio (for the first month of sales) to the average declines to zero.
Run some numbers: If the initial 100 Xbox purchasers purchased 6 games apiece, and the initial 100 Wii and PS3 users purchase 2 games apiece in the first month, and the next 10 million purchasers for each console all purchased 3 games apiece per year, you're not honestly trying to tell me the Xbox will retain a constant +4 tie ratio due to the initial 100 purchasers??