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Gaskin and Associates Consulting Group, LLC
NNPS proposal
October 8 2026
17
Illustrative receiving allocations and limits
These are author-generated integer allocations that prove the aggregate capacity arithmetic, using
every pupil in the sending school’s study count. They are not observed student placements. No grade,
pupil origin, choice acceptance or legally required service is assigned by this calculation.
Discovery release test
Receiver
Existing
pupils
Incoming
example
Resulting
pupils
Use
Headroom at
90%
Newsome Park
445
350
795
82.3%
74
An Achievable Dream
685
147
832
81.7%
84
Combined
1,130
497
1,627
82.0%
158
Every allocation that puts both receivers within the 80–90% band sends 328 to 367 of Discovery’s 497
pupils to Newsome Park. An Achievable Dream receives the balance, from 169 down to 130. The
example sends 350 and 147. Final enrollment ranges are 773 to 812 at Newsome and 815 to 854 at
An Achievable Dream.
Newsome Park release test
Receiver
Existing
pupils
Incoming
example
Resulting
pupils
Use
Headroom at
90%
Discovery
497
225
722
87.2%
23
An Achievable Dream
685
220
905
88.9%
11
Combined
1,182
445
1,627
88.1%
34
Every in-band allocation sends 214 to 248 of Newsome Park’s 445 pupils to Discovery. An Achievable
Dream receives the balance, from 231 down to 197. The example sends 225 and 220. Final
enrollment ranges are 711 to 745 at Discovery and 882 to 916 at An Achievable Dream.
Reproduce the allocation interval
For receivers A and B, sending cohort M, capacities CA and CB, and baseline counts EA and EB: lower bound =
max(0, ceil(0.8CA) − EA, M − (floor(0.9CB) − EB)). Upper bound = min(M, floor(0.9CA) − EA, M − (ceil(0.8CB) − EB)).
A whole-pupil allocation exists only when the lower bound is no greater than the upper bound. Apply grade-level
constraints separately.
No integer allocation can place all 685 An Achievable Dream pupils into Newsome Park and Discovery while keeping
both at or below 90%: their combined limit is 1,614, below the group’s 1,627. This rules out that specified screen, not
all future configurations.Jump to an indexed page (48 of 48)