Make a plot of the solutions

Assignment Help Engineering Mathematics

Reference no: EM131242881

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

Reference no: EM131242881

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len1242881

10/15/2016 1:52:41 AM

Please solve NLP problems. Here is an example of what I need. The only difference between this example and problem I have is that the starting points and equation are different. The main help I need here is to compute the iterations. This spreadsheet of example should give an idea of what's needed!

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