Recently, you have opened an investment solution firm. One of client who is High Net worth Individual has come to you with multiple objectives to assess. You are required to give him the solution regarding the investments across $8$ investment assets$/$indices $($data attached in the 'portfolio data.x$/$s$).$ The client wants to know the following.

$($Marks $10)$

a$.$ What should be proportion of investments among all assets so that he$/$she can maximize portfolio return without incurring the risk more than $17$ and without the short$-$sale constraint?

b$.$ Your client also wants to evaluate investment if market turns out to be very turbulent and he$/$she must be risk$-$averse. Thus, you have to design his$/$her portfolio with investment weights without short$-$sale? $($Assume he$/$she is only interested in risk of the portfolio$)$

Please download the following datafile in the link below to answer questions A and B$.$