(1) An investor with initial wealth W is given the opportunity to invest in a start-up company. If the company does well, the investor will make a 200% prot in her investment, but if the company fails, the investor will lose all her investment. That is, if the investor invests :6, she will get back 333 if the company succeeds and nothing if the company fails. The company will fail with probability 1 / 2 and will succeed with probability 1 / 2. The investor is riskaverse and has utility function u(33) = . What fraction of her initial wealth W should she invest in this company