Tony Hwang wrote, on Tue, 08 Dec 2015 16:00:22 -0700:

I just shake my head. I thought Bimmer drivers are some intelligent
people who understand basics of vehicle. When you mount tires you
rotate tires on the wheel to minimize the use of balancing weight.

I think we misunderstood each other.

I am a typical BMW owner who mounts and balances his own tires.
I know all about the red and yellow dots on most new tires.

Here is how I mounted and balanced my tires to minimize weights:
1. I removed the old tires & all the old weights.
2. I washed the five rims & located the match mounting dot on the rims.
3. I located both the red and yellow dots on my new tire sidewalls.
4. I leveled all five of the empty clean weightless rims.
5. I placed them in order of worst to best, with worst being the spare.
6. I chose the two best new tires for the front (yellow/red being closest).
7. I mounted and balanced those two best tires to the two best rims.
8. I mounted and balanced the next-best tires to the next-best rims.
9. I mounted and balanced the worst tire & worst rim for the spare.
10. In each case, I paired the red dot with the valve stem for allow wheels.

I then took the vehicle out for a high-speed run.
Had it vibrated, I would have then taken the vehicle in to a shop to
ascertain if the vibration were due to:

a. Suspension components
b. Steering components
c. Alignment
d. Wheels & tires

What exactly do you find wrong with my procedure?