An experimenter wishes to run a three-component mixture experiment. The constraints in the component proportions are as

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An experimenter wishes to run a three-component mixture experiment. The constraints in the component proportions are as follows:

An experimenter wishes to run a three-component mixture experiment. The constraints in the component proportions are as follows:

 0.2 < x, < 0.4 0.1 < x2从0.3 0.4 < x2 < 0.7


(a) Set up an experiment to fit a quadratic mixture model. Use n = 14 runs, with four replicates. Use the D-criterion.

(b) Draw the experimental region. 

(c) Set up an experiment to fit a quadratic mixture model with it = 12 runs, assuming that three of these runs are replicates. Use the D-criterion.

(d) Comment on the two designs you have found.

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