Minimising waste in a cutting problem.

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I have three possible board sizes: $8$, $10$ and $12$ feet long. I want to make some number of cuts to these, say, $3, 2,1,1,1,6,5,3,4,2,1$ feet cuts and I want to minimize waste. I've done a quick review of one dimensional cutting stock problems, but I can't find any implementation with multiple possible board lengths. Any help appreciated.