Examples
Examples
Try the starting example
- Members: ID, fixed nontransferable grams, supplied preferred maximum total grams
- A,4000,10000 B,2000,8000 C,1000,6000
- Divisible shared pool mass (whole grams)
- 9000
- Shared grams allocated to each member
- A: 2667; B: 3333; C: 3000
- Proposed total grams by member
- A: 6667; B: 5333; C: 4000
- Pool grams left unassigned above supplied caps
- 0
- Largest proposed total/supplied cap (%)
- 66.67
Try another scenario
- Members: ID, fixed nontransferable grams, supplied preferred maximum total grams
- A,4000,10000 B,2000,8000 C,1000,6000
- Divisible shared pool mass (whole grams)
- 20000
- Shared grams allocated to each member
- A: 6000; B: 6000; C: 5000
- Proposed total grams by member
- A: 10000; B: 8000; C: 6000
- Pool grams left unassigned above supplied caps
- 3000
- Largest proposed total/supplied cap (%)
- 100
Calculation method
Calculation method
Shared grams allocated to each member
Find a common capacity fraction with total=max(fixed,fraction×cap), then apportion fractional grams by largest remainder, input-order ties.
Proposed total grams by member
Fixed grams+assigned shared grams, preserving each supplied cap.
Pool grams left unassigned above supplied caps
max(0,pool−sum(cap−fixed)); an over-cap pool is exposed rather than silently assigned.
Largest proposed total/supplied cap (%)
Maximum realized integer-gram total/cap×100, excluding zero/zero caps.
Symbols and units
- a
- Members: ID, fixed nontransferable grams, supplied preferred maximum total grams
- b
- Divisible shared pool mass (whole grams)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
sum(list) adds all entries in the list.
Assumptions & limits
Assumptions & limits
- A divisible common-pool load-balancing proposal using supplied preference caps and fixed loads. It does not assign indivisible equipment, infer physical carrying capacity or evaluate health, terrain or suitability.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: ratios and rates; all itinerary rates, limits and scenario rules are supplied inputs ↗
Background reading; this does not imply endorsement or independent review of SumFizz.