Examples
Examples
Try the starting example
- Plants entering the first stage
- 1000
- Observed survival at each sequential stage (%)
- 80,75,90
- Required final plants
- 500
- Expected plants after each stage
- 800, 600, 540
- Expected final plants
- 540
- Combined survival (%)
- 54
- Opening plants required at these rates
- 926
- Expected final surplus or shortage
- 40
Try another scenario
- Plants entering the first stage
- 100
- Observed survival at each sequential stage (%)
- 50,0
- Required final plants
- 10
- Expected plants after each stage
- 50, 0
- Expected final plants
- 0
- Combined survival (%)
- 0
- Opening plants required at these rates
- Impossible at supplied rates
- Expected final surplus or shortage
- -10
Calculation method
Calculation method
Expected plants after each stage
Multiply sequentially by each entered survival fraction, retaining fractional expected counts.
Expected final plants
Final expected count after all stages.
Combined survival (%)
Product of stage survival fractions × 100.
Opening plants required at these rates
Round up target / combined survival; Impossible at supplied rates if survival is zero and target is positive.
Expected final surplus or shortage
Expected final plants − required final plants.
Symbols and units
- a
- Plants entering the first stage
- b
- Observed survival at each sequential stage (%)
- c
- Required final plants
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Expected sequential survival from observed rates, not a guaranteed final plant count. Fractions are not rounded at intermediate stages. Zero-survival stages are reported explicitly.
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: arithmetic and geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.