Tanya is an owner of Invest Co. Her utility of wealth is given by U(W) = W² where W is her wealth level. Tanya has been sponsored $M to invest in two potential investment projects (M is an amount of money and simply disappears if it is not invested in a project). Investment A pays $16 per dollar of investment or $0 with a 50% chance each. Investment B pays $9 per dollar of investment with probability 2/3 or $0 with probability of 1/3. Which proportion of M does Tanya want to invest in A? Explain your answer in reference to risk aversity discussed in class. (7 marks)