You are considering how to invest part of your retirement savings. You have decided to put $$100,000$ into three stocks:

$67\%$ of the money in GoldFinger $($currently $$\frac{29}{?}$ share$),12\%$ of the money in Moosehead $($currently $$\frac{71}{?}$ share$),$ and the remainder in Venture Associates $($currently $$\frac{6}{?}$ share$).$ Suppose GoldFinger stock goes up to $$\frac{40}{?}$ share, Moosehead stock drops to $$\frac{57}{?}$ share, and Venture Associates stock rises to $$7$ 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?