Description
required = max(0,learners*copiesPerLearner-sharedSets); surplus = copies-required.
Educational time and material budgets need explicit working time, pauses, transitions, capacity and rate conventions. A numerical schedule allocation is a planning aid, not a validated recommendation for learning pace or an automatically feasible timetable.
required = max(0,learners*copiesPerLearner-sharedSets); surplus = copies-required.
When to use this tool
Use Lesson Material Copy Surplus when checking a supplied teaching, study or assessment-resource budget.
How to use the tool and how it works
- Enter copies, learners, copiesPerLearner, sharedSets. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read required, surplus. Use the output convention below.
Require nonnegative whole copies, learners, copiesPerLearner and sharedSets. required = max(0,learners*copiesPerLearner-sharedSets); surplus = copies-required.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| copies | Copies | Required. Safe integer; minimum 0. |
| learners | Learners | Required. Safe integer; minimum 0. |
| copiesPerLearner | Copies Per Learner | Required. Safe integer; minimum 0. |
| sharedSets | Copy-equivalent coverage deducted one-for-one from learner copy demand. | Required. Safe integer; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| required | Required | Required. Safe integer. |
| surplus | Surplus | Required. Safe integer. |
{
"input": {
"copies": 40,
"learners": 30,
"copiesPerLearner": 1,
"sharedSets": 5
},
"output": {
"required": 25,
"surplus": 15
}
}Limitations and assumptions
- sharedSets is subtracted one-for-one as copy-equivalent coverage under this convention, not multiplied by group size. Negative surplus is retained; usability and distribution are not checked.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the actual timetable, resources, learner needs and approved policies to assess a practical plan.
References
Similar or alternative tools
- Lesson Task Transition Buffer
availableBuffer = nextStart-previousEnd; slack = availableBuffer-requiredBuffer on a common time coordinate basis.
- Lecture Playback Time Pause Adjustment
totalMinutes = recordingMinutes/playbackSpeed+pauseMinutes.