Using MATLAB functions poly and polyder, compute the relative condition numbers of the roots ₁, 2,..., 20 of the Wilkinson polynomial w(x) = (x - 1)(x-2)(x-20) = x²0 - 210x¹⁹ +... with respect to perturbation of the coefficient of ¹9, a19, from -210 to -210 + 2-23. Present your results in a tabular form and write your conclusion on the ill-conditioninig of the Wilkinson polynomial. = (Recall: condition number for the jth root is kj |a₁x¹²=-¹| |w'(x₂)|*

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Rod Cutting

A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.