Write down the characteristic equation of the transfer function obtained in a). Then, using the Routh Hurwitz Stability Criterion, find the range of gain k for system stability.

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A:

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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.