You are considering how to invest part of your retirement savings.You have decided to put $ $500$ comma $000$ into three$$ stocks:

$55\%$ of the money in GoldFinger$($currently $ $16/$share$),16\%$ of the money in Moosehead$($currently $ $89/$share$),$ and the remainder in Venture Associates$($currently $ $4/$share$).$ Suppose GoldFinger stock goes up to $ $35/$share$,$ Moosehead stock drops to $ $51/$share$,$ and Venture Associates stock rises to $ $9$ per share.

a$.$ What is the new value of the$$ portfolio?

b$.$ What return did the portfolio$$ earn?

c$.$ If you$$ don't buy or sell any shares after the price$$ change, what are your new portfolio$$ weights?