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A detergent must be re-formulated to fine-tune two product attributes, which are measured as responses from a designed experiment:
Y1 - viscosity
Y2 - turbidity.
Three primary components vary as shown:
3% ≤ A (water) ≤ 8%
2% ≤ B (alcohol) ≤ 4%
2% ≤ C (urea) ≤ 4%
These components represent nine weight-percent of the total formulation, that is:
A + B + C = 9%
Other materials (held constant) make up the difference: 91 weight-percent of the detergent. For purposes of this experiment they are ignored.
Experimenters chose a standard mixture design called a simplex lattice. They augmented this design with axial check blends and the overall centroid. Vertices and overall centroid were replicated, increasing the experiment size to 14 blends total.
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