Chocolate tempering batch allocation calculator

Calculate required input mass and equal-batch plan with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use required input mass and equal-batch plan to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Required recovered chocolate (kg)
18
Minimum working batch (kg)
4
Maximum working batch (kg)
10
Unrecovered hold fraction
0.1
Required input mass (kg)
20
Equal-batch plan (JSON)
{"total":20,"batches":2,"each":10}

Try another scenario

Required recovered chocolate (kg)
23
Minimum working batch (kg)
6
Maximum working batch (kg)
10
Unrecovered hold fraction
0.08
Required input mass (kg)
25
Equal-batch plan (JSON)
{"total":25,"batches":3,"each":8.33333333333}
Calculation method

Calculation method

Required input mass (kg)

Recovered requirement/(1−hold fraction).

Equal-batch plan (JSON)

n=ceil(total/max); if n×min<=total use n equal batches total/n, otherwise report infeasible.

Symbols and units
a
Required recovered chocolate (kg)
b
Minimum working batch (kg)
c
Maximum working batch (kg)
d
Unrecovered hold fraction

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

  • Equal working batches between user-supplied machine minimum and maximum; hold allowance modeled as a fractional unrecovered mass. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. Required recovered mass>0; 0<minimum<=maximum; hold fraction in [0,1).
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