You have been tasked with the design of a diving board for an extreme sports competition. Your goal is to design a diving board that maximizes the strain energy stored in the board when a force, P, is applied at the tip. The diving board can be idealized as a cantilever beam of fixed length, L, and fixed width, W. Assume the board has a rectangular cross section. The diving board must not yield during use. You are free to choose the material and the thickness of the diving board