Starting from the initial trial solution (x1, x2) (1, 1), interactively apply two iterations of the gradient search procedure to begin solving the following problem, and then apply the automatic routine for this procedure (with  0.01).

Maximize f(x) 4x1x2  2x1 2  3x2 2

.

Then solve f(x) 0 directly to obtain the exact solution.

D,I,C 13.5-4.* Starting from the initial trial solution (x1, x2) (0, 0), interactively apply the gradient search procedure with  0.3 to obtain an approximate solution for the following problem, and then apply the automatic routine for this procedure (with  0.01).

Maximize f(x) 8x1  x1 2  12x2  2x2 2 2x1x2.

Then solve f(x) 0 directly to obtain the exact solution.