Myers and Montgomery (1995) describe a gasoline blending experiment involving three mixture components. There are no constraints

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Myers and Montgomery (1995) describe a gasoline blending experiment involving three mixture components. There are no constraints on the mixture proportions, and the following 10-run design is used: 

 Design Point X2 X3 y, mi/gal 1 1 24.5, 25.1 2 1 24.8, 23.9 1 22.7, 23.6 4 25.1 5 24.3 23.5 24.8, 24.1 24.2 7 8 9 23.9 10 23.7 6 6.


(a) What type of design did the experimenters use?

(b) Fit a quadratic mixture model to the data Is this model adequate?

(c) Plot the response surface contours. What blend would you recommend to maximize the miles per gallon?

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