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You can write your entire system in matrix notation. For each feature, you have a system of linear equations $Ax=b$, with $A$ a matrix containing the amounts of products $a_{ij}=n_{ij}$, $x$ the vector of unknown features $f_j$, and $b$ the vector of respective sums $b_i$. You can use classic linear algebra to solve that system, no optimization required;)

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