Consider three assets: two risky assets $($asset $1$ and asset $2)$ and the riskless asset. Asset $1$ has an expected return of $5\%$ and a volatility of $10\%.$ Asset $2$ has an expected return of $10\%$ and a volatility of $20\%.$ The riskless asset provides a return of $2\%.$

An investor has quadratic utility with a degree of relative risk aversion equal to $5$ and considers the following options

Question is

Suppose that investor uses the maximum expected return strategy to form two portfolios. Portfolio $1$ invests in asset $1$ and the riskless asset. Portfolio $2$ invests in asset $2$ and the riskless asset. Using target portfolio volatility of $5\%,$ solve for the optimal weights of the two portfolios. Compute the expected return, volatility and Sharpe ratio of the two portfolios. Which portfolio delivers highest utility?

Please answer this question with the calculations using the numbers provided and give answers for expected return, volatility and sharpe ratio aswell. Thank you