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Batch formula scaling, filling and cost

Paste the formula from Excel, say how many containers (or pounds, or gallons) you want to fill and get the weighing sheet with masses rounded to your scale, the batch volume and the cost per pound, per gallon and per container. The no-cost sheet prints ready for the shop floor.

Pre-sizing and estimating tool: results do not replace design, calculations or reports signed by a licensed professional, nor verification against the applicable codes and standards.

Check
Batch target
Container

To avoid running short, enter the real average fill (label + overfill) as the content; the filling calculator helps set that value.

Density and scale
Raw materials
See what was read

Up to 25 lines. Phase and active are optional; a blank SG counts as 1.00. Cost is per lb of raw material. Write qs in the amount of the ingredient that balances the formula (percent mode only).

The calculator does not check FDA or EPA requirements for cosmetics, cleaning products or pesticides (registration, labeling, ingredient limits). Check with your regulatory lead.

—Cost per container (product + container)
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Batch weighing and cost sheet

Masses rounded to the scale resolution, in phase order.

Raw material cost Pareto

Cost of each ingredient in the batch, largest first, with the cumulative percentage.

Tap the chart to see the values.

Next step

Take this page’s results to another calculator with the fields already filled in.

The calculation report gathers this page's inputs, results, equations, assumptions and references, with fields for project, engineer and revision. The full report also includes the charts and interpretations, in color. In the print dialog, choose Save as PDF.

Method, assumptions and references

Equations used

Ingredient fraction: wᵢ = qᵢ ÷ Σq (normalization); q.s. = 100% − Σ(others)
Ideal blend density: 1/ρ = Σ wᵢ/ρᵢ (or the measured SG, if entered)
Usable mass: M_u = N · content · ρ (or the target by weight or volume); mass to weigh: M = M_u ÷ [(1 − process loss)(1 − filling loss)]
Weighing: mᵢ = round(wᵢ · M ÷ d) · d; volume: Vᵢ = mᵢ ÷ ρᵢ; containers = floor(M · (1 − losses) ÷ mass per container); active = Σ wᵢ · aᵢ
Cost: C = Σ mᵢ · cᵢ; per usable lb = C ÷ M_u; per container = mass per container · C ÷ M_u + container

Assumptions and limits

  • The formula is percent by weight. Ingredient specific gravities (default 1.00) are used only for volumes; the ideal blend ignores shrinkage or expansion, so the measured product SG, when entered, takes priority.
  • Masses are rounded to the scale resolution; the total is rounded up and the q.s. ingredient (or, without one, the largest rounding remainders) closes the sum. Process and filling losses are mass fractions applied equally to all ingredients.
  • Cost covers raw materials and containers only; labor, energy, taxes and overhead are excluded. Active content is the simple sum of % in formula × each raw material’s content, with no reactions (such as sulfonic acid neutralization).
  • The calculator does not check regulatory requirements of the FDA, the EPA or the EU Cosmetics Regulation: registration, labeling and ingredient limits are the manufacturer’s responsibility.

Standards and technical documents

  • ISO 22716:2007 — Cosmetics — Good Manufacturing Practices (GMP), batch documentation and weighing records
  • OIML R 76-1:2006 — Non-automatic weighing instruments (scale interval d and accuracy classes)
  • Perry’s Chemical Engineers’ Handbook, 9th ed., McGraw-Hill, 2018 — densities of mixtures
  • Lange, K. R. (ed.) Detergents and Cleaners: A Handbook for Formulators, Hanser, 1994
  • Rosen, M. J.; Kunjappu, J. T. Surfactants and Interfacial Phenomena, 4th ed., Wiley, 2012

U.S. regulations

  • 21 CFR Parts 700–740: FDA regulations for cosmetics (labeling and ingredient restrictions)
  • Federal Insecticide, Fungicide, and Rodenticide Act (FIFRA) and 40 CFR Part 156: labeling of disinfectant and sanitizer products
  • OSHA 29 CFR 1910.1200: Hazard Communication (labels and safety data sheets for raw materials)
  • 16 CFR Part 500: Fair Packaging and Labeling Act regulations (net quantity statement)

Frequently asked questions

What does this calculator do?

It turns a formula in percent (or the amounts from a pilot batch) into a weighing list for the batch size you need: by number of containers, by weight or by volume. It allows for reactor and filling losses, rounds each weight to your scale’s resolution and works out batch volume, active content and cost per pound, per gallon and per container. In the example, 500 one-gallon jugs of dish detergent take 4,327.53 lb on the scale.

How do q.s. and normalization work?

Write qs in the amount of the ingredient that balances the formula, usually water. In the example the other eight ingredients add up to 19.51% and water takes the remaining 80.49%. Without a q.s. line, if the sum is not 100% (say 98.5%), each amount is divided by the sum and a notice says "Sum = 98.50%: the formula was normalized to 100%". Always read that notice: it often flags a typo.

How is the mass to weigh worked out?

First comes the mass that must reach the containers: 500 × 1 gal × 8.526 lb/gal = 4,262.8 lb. That is divided by what survives the losses, (1 − 1%) × (1 − 0.5%), giving 4,327.5 lb. Each ingredient is then rounded to the scale resolution (0.01 lb in the example) and the q.s. ingredient closes the total, about 507.6 gal in the tank.

Where do I get ingredient and product density?

Each raw material’s specific gravity is on the supplier’s certificate of analysis or technical data sheet; for solids that dissolve it only affects the calculated volume. Without a measurement, the calculator estimates product density from the ideal blend, 8.526 lb/gal (SG 1.022) in the example. If you measured the finished product with a hydrometer or pycnometer, enter it: it then governs batch volume and container count, since many blends shrink or expand by a few percent.

How do I read the example cost per container?

Raw materials for the batch cost $707, or $0.166 per pound filled with losses included. Each jug holds 8.53 lb of product ($1.41) plus $1.15 for bottle, cap, label and case share, for $2.56 in total. The Pareto chart shows three ingredients (sulfonic acid, sodium laureth sulfate and fragrance) make up 83% of the cost, so that is where price negotiation pays off. Labor, energy and overhead are not included: add them before setting a selling price.

What is the weighing sheet mode for?

It shows and prints only what the operator needs: phase, ingredient, %, weight, volume, a blank column for each raw material lot, a check box and "Weighed by", "Checked by", "Date" and "Product lot" lines. Prices, costs, the Pareto chart and the priced ingredient list are hidden on screen and in the PDF, which protects the commercial formula. To change the formula, switch back to Cost report, edit, and switch again.

What are the limits of the calculator?

It does not account for reactions (such as caustic neutralizing the sulfonic acid), evaporation or ingredient-specific losses, and active content is a simple sum of % × each raw material’s content. Weighings below 20 scale divisions carry more than 2.5% rounding error and trigger a warning; in the example the dye (0.43 lb) is 43 divisions. It also does not check FDA or EPA requirements for cosmetics, cleaning products or disinfectants: registration, labeling and ingredient limits stay with your regulatory lead.