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1. Consider the following unconstrained optimization problem:
Maximize f(x)= 3x1x2 + 3x2x3 - x12 - 6x22 - x32.
a. describe how solving this problem can be reduced to solving a two variable unconstrained optimization problem.
b. Starting from the initial trial solution(x1,x2,x3)=(1,1,1), interactively apply the gradient search procedure with epsilon = 0.05 to solve approximately the two variable problem identified in part a.
Note: This problem comes from the book Introduction To Operations Research by Hillier 10th ed.
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