2) A risky portfolio is provided with an expected rate of return of 19.5%, standard deviation of 30% and risk free rate of 8.5%. If the client chooses to invest three different risky assets a proportion of equal investments and also in T bills.

a) Determine weights of all the distributed assets.

b) Determine the Sharpe ratio of the portfolio

c) If the investment is done such a way that the expected return is maximized with standard deviation not exceeding 25%. Determine the investment proportion and expected return of the portfolio.