Question: Consider the first-order model y = 12 + 1.2x 1 2.1x 2 + 1.6x 3 0.6x 4 where 1 xi 1.

Consider the first-order model y = 12 + 1.2x₁ − 2.1x₂ + 1.6x₃ − 0.6x₄where −1 ≤ xi ≤ 1.

(a) Find the direction of steepest ascent.

(b) Assume that the current design is centered at the point (0, 0, 0, 0). Determine the point that is three units from the current center point in the direction of steepest ascent.

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