You are considering how to invest part of your retirement savings. You have decided to put $ $600,000$ into three$$ stocks:

$56\%$ of the money in GoldFinger$($currently $ $17/$share$),14\%$ of the money in Moosehead$($currently $ $82/$share$),$ and the remainder in Venture Associates$($currently $ $1/$share$).$ Suppose GoldFinger stock goes up to $ $34/$share$,$ Moosehead stock drops to $ $59/$share$,$ and Venture Associates stock rises to $ $6$ 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?