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Matrices conundrum

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Hi all,

 

I completed an introductory course on mathcad a few years back, but these sort of logical problems scrambles my brain, so if anyone could help me out I would be much abliged!

 

I have a problem whereby I have 25 different powder based flavourings of foods, each flavour is made up of a selection between 7-15 ingredients from a range of 51 different ingredients. Set flavourings are directed to three different extruders, 8 of these flavourings are directed to extruder A, 15 to extruder B, and 2 to C.

 

I’m looking to find the number of any combination of ingredients for any setup of all three extruders.


I have attempted it in Excel using Pivottable and select the three flavouring individually, which is fine if I need to know a specific setup, but it would take some considerable time to manually choose each combination of flavouring if I wanted to find the combination with the most ingredients.

 

I presume it is possible to display the results in a matrix format where the function was applied to all combinations. Also following this I will be adding data such as the combined weight of the mixes to determine maximum batch weight and selected ingredients. It would also be nice if i could display it in a 3D plot.

 

Regards,

 

James


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