The mathematics.

Assumptions. - 1 tsp chilli powder per serve starting point.
- 1 tsp = 5 ml.
- 5 ml (1 tsp) of chilli powder = 2.7 g.
- 1 metric cup = 250 ml (50 tsp)
- Linear scale applied to initial double from 1 to 2 serve (commonly acceptable to both theories).

For the sake of mathematical convenience, enabling direct comparison, let us consider a bulk cook volume of 128 serves instead of 100, this being 6 iterations of doubling after the initial occurrence, ie; from 1 serve to 2. Also a combination of 32 serves added to 64 serves. 96 serves. The combination of 32 and 64 is not exactly consistent to the theory but it is closer to 100 serves and allows examination of the numbers.

**128 serves **Linear scaling.

1 X 128 = 128 tsp chilli powder = approx 2.5 cups = approx 345 g.

Non Linear scaling factor of 1.5 after initial double.

2 X 1.5 ^ 6 = 22.78 tsp chilli powder = approx 0.5 cup = approx 62 g.

Non Linear scaling factor of 1.25 after initial double.

2 X 1.25 ^ 6 = 7.63 tsp chilli powder = approx 20 g.

**96 serves**Linear scaling

1 X 96 = 96 tsp chilli powder = approx 2 cups = approx 260 g.

Non Linear scaling factor of 1.5 after initial double.

2 ( 1.5 ^ 4 + 1.5 ^ 5 ) = 25.3125 tsp chilli powder = approx 0.5 cup = approx 68 g.

Non Linear scaling factor of 1.25 after initial double.

2 ( 1.25 ^ 4 + 1.25 ^ 5 ) = 5.49 tsp chilli powder = approx 15 g.

**Conclusion**As to be expected, there is considerable difference in the amount of chilli required and this difference would increase with further iterations applied. Even I would have to think that a scaling factor of 1.25 is a little bit weak on credibility, but I haven't tested it so I don't know? Possibly not so on scaling already bulk food quantity to even bigger bulk, ie; 100 to 200 serves etc.. If (please read

** IF**, because I haven't actually done it) the 1.5 factor of scale does provide ample spice levels, then there is a reduction in spice usage of between 74 % and 82%. Not insignificant.

Disclaimer: This is purely to illustrate the difference in amounts of spice that would be used in the application of the different scaling theories. I have not ever cooked in these quantities and do not offer this as proof of anything.