Gradient Method -
1) Consider the unconstrained NLP max x1x2 - 5(x1 - 3)4 - 4(x2 - 5)3. Start at the point x(0) = (3,7) and compute 3 iterations of the gradient search to find points x(1), x(2), and x(3). Next, solve for the actual solution to this problem using Excel. Then make a plot of the 4 solutions (x(0) through x(3)) and show how these points are making progress toward the solution you found using the Solver.
Hint: Use WolframAlpha or another method to verify the optimal point and verify that your gradient search is approaching this value.
2) Repeat all of the steps of problem 1 using the new starting point of x(0) = (4.5, 4.5).
a. Does the solution change or does the algorithm seem to find the same optimal point?
b. Does the solution arrive at/near the optimal point more quickly?
Attachment:- Assignment.rar