You are considering how to invest part of your retirement savings. You have decided to put $$100,000$ into three stocks: $53\%$ of the money in GoldFinger $($currently $$\frac{28}{?}$ share$),16\%$ of the money in Moosehead $($currently $$\frac{86}{?}$ share$),$ and the remainder in Venture Associates $($currently $$\frac{10}{?}$ share$).$ Suppose GoldFinger stock goes up to $$\frac{37}{?}$ share, Moosehead stock drops to $$\frac{58}{?}$ share, and Venture Associates stock drops to $$8$ per share.

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

b$.$ What retum did the portfolio earn?

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