Pollen Patty Protein Percent Mix

Solve a two-ingredient pollen-patty blend at a caller dry-matter protein target with different ingredient moisture; nutritional suitability and feeding quantities are not inferred.

Description

A pollen-patty blend must account for ingredient moisture when targeting protein on a dry-matter basis.

A pollen-patty blend must account for ingredient moisture when targeting protein on a dry-matter basis. Equal wet masses need not contribute equal dry matter.^[1]

Solve a two-ingredient pollen-patty blend at a caller dry-matter protein target with different ingredient moisture; nutritional suitability and feeding quantities are not inferred.

When to use Pollen Patty Protein Percent Mix

Use this tool to solve a two-ingredient pollen-patty blend at a caller dry-matter protein target with different ingredient moisture; nutritional suitability and feeding quantities are not inferred.

Prepare the hive, sample or operating measurements and any supplied target values. Confirm units, timing and whether counts or masses refer to the same population or batch.

How to use Pollen Patty Protein Percent Mix and understand its results

Prepare the hive, sample or operating measurements and any supplied target values. Confirm units, timing and whether counts or masses refer to the same population or batch.
Enter targetPattyMassKg, targetDryMatterProteinFraction, ingredientDryMatterFractions, ingredientDryProteinFractions using the field table and calculation rules, then run the tool.
Read ingredientWetMassesKg, totalDryMatterKg. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
targetPattyMassKg	Target patty mass kg	number	Required
targetDryMatterProteinFraction	Target dry matter protein fraction	number	Required
ingredientDryMatterFractions	Ingredient dry matter fractions	list of number	Required
ingredientDryProteinFractions	Ingredient dry protein fractions	list of number	Required

Enter positive final wet mass in kg, exactly two dry-matter fractions greater than zero and at most one, two dry-protein fractions in [0,1] and a target dry-protein fraction in [0,1]. Solve the mass balance, rejecting an unidentified zero denominator or a fraction outside [0,1]. Return two wet ingredient masses and combined dry matter.

firstWetFraction = −d2(p2−target)/[d1(p1−target)−d2(p2−target)]

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
ingredientWetMassesKg	Ingredient wet masses kg	list of number
totalDryMatterKg	Total dry matter kg	number

json

{
  "input": {
    "targetPattyMassKg": 10,
    "targetDryMatterProteinFraction": 0.3,
    "ingredientDryMatterFractions": [
      1,
      0.5
    ],
    "ingredientDryProteinFractions": [
      0.4,
      0.1
    ]
  },
  "output": {
    "ingredientWetMassesKg": [
      4.999999999999999,
      5
    ],
    "totalDryMatterKg": 7.5
  }
}

Limitations and assumptions

The calculation does not assess nutritional suitability, digestibility or feeding quantities. Ingredient compositions and target are supplied, and an out-of-range target is rejected rather than clipped.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Syrup Sugar Mass By Concentration: Plan sucrose-mass concentration from desired final volume/density and raw-sugar purity; impurities remain in the mixture and no season-specific feeding recipe is embedded. For a complementary task, use Split Ratio Colony Divider: Apportion integer adults/brood frames by largest remainders and continuous feed by caller split weights; input order breaks integer ties, and biological adequacy is not inferred.

References

Pollen Patty Protein Percent Mix — tool.io

Similar or alternative tools

Syrup Sugar Mass By Concentration
Plan sucrose-mass concentration from desired final volume/density and raw-sugar purity; impurities remain in the mixture and no season-specific feeding recipe is embedded.
Split Ratio Colony Divider
Apportion integer adults/brood frames by largest remainders and continuous feed by caller split weights; input order breaks integer ties, and biological adequacy is not inferred.