Problem 3: A coordinate frame, {B}, is located at the base of a robot manipulator. ŻB points upward. Three cameras are used to view the manipulator. Coordinate frames {C}, {D}, and (E} describe the camera positions and orientations. The origin of (C} is on the Xg - 2g plane. The cameras are mounted on tripods 1.5 units tall placed at the vertices of an equilateral triangle having {B} at the incenter. The robot frame is on the focal axis of each camera (the camera's 2- axis), and the Euclidean distance from (B) to any camera is 5 units, thus "PBORG = "PBORG = "PBORG = [0 0 5]" Compute the camera transformation matrices: T, T, and T.

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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.