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

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0.2 x 0.4 0.12 0.3 0.4 x 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 n = 12 runs, assuming that three of these runs are replicates. Use the D-criterion. (d) Comment on the two designs you have found.