Apportionment

[Albert Chan]

Hi, Pekis.

Technically, even if distributed amounts added exactly to total, it is still not equitable.
Rounding operation will slightly favored whoever is lucky.

To force distribution of leftover pennies, I would have added them to B1, B3.
When scaled back to $390, we get this: (max abs err = 0.0048, averaged abs err = 0.0036)

Code:

105.99 →  83.0042, err = +0.0042
 72.78 →  56.9964, err = -0.0036
135.36 → 106.0048, err = +0.0048
111.09 →  86.9982, err = -0.0018
 72.78 →  56.9964, err = -0.0036

Pennies to B2, B4 is slightly less equitable: (max abs err = 0.0060, averaged abs err = 0.0041)

Code:

105.98 →  82.9964, err = -0.0036
 72.79 →  57.0042, err = +0.0042
135.35 → 105.9970, err = -0.0030
111.10 →  87.0060, err = +0.0060
 72.78 →  56.9964, err = -0.0036

BTW, why B2 get the penny, but not B5 ? (Both started with the same $57)