Consider the first-order model (a) Find the direction of

Chapter 14, Problem 69E

(choose chapter or problem)

Consider the first-order model \(y=12+1.2 x_{1}-2.1 x_{2}+1.6 x_{3}-0.6 x_{4}\) where \(-1 \leq x_{i} \leq 1\).

(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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