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General purpose blending and product mix application.
We have a set of raw materials (RM) available,
which we want to blend together into one or more finished goods (FG).
There are a set of quality measures (QM) associated with each raw material.
Each FG has lower and upper limits on each QM.
We want to decide how much of each raw material to use in
the blend so that the final blend satisfies the quality
requirements and maximizes revenue minus cost.
Some of the RM's may in fact decrease the batch size because
the addition of the RM removes some components, e.g.,
injecting oxygen into molten steel may burn of carbon.
Adding lime to molten steel allows the removal of sulfur as slag.