1. A system defined by the following state-space equations: 日-[ -14 -56 160 1. u = kt2 + b Simulate the equations for 30 seconds and show the results for the variation states with time. Use ode45 solver Initial conditions: x1(0) = 1, x2(0) = 1.5, x3(0) = 3 Parameters: a. k 0.5, b. k 0, b= 2 b= 10 Plot the results and compare them for different parameters.

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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.