You want to invest $$$$47$ comma $000$ in a portfolio with a beta of no more than $1\mathrm{.}34$ and an expected return of $13\mathrm{.}286\%.$ Bay Corp. has a beta of $1\mathrm{.}03$ and an expected return of $11\mathrm{.}16\%,$ and City Inc. has a beta of $1\mathrm{.}78$ and an expected return of $16\mathrm{.}31\%.$ The$$ risk$-$free rate is $4\mathrm{.}08\%.$ You can invest in Bay Corp. and City Inc. How much will you invest in$$ each?

Question content area bottom

Part $1$

In Bay Corp.$,$ you should invest $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$