You want to create a portfolio equally as risky as the market, and you have $$1$ million to invest. Information about the possible investments is given below:

$\backslash$table$[[$Asset$,$Investment,Beta$],[$Stock A$,$$$195,000,\mathrm{.}80],[$Stock B$,$$$365,000,1\mathrm{.}09],[$Stock C$,,1\mathrm{.}23],[$Risk$-$free asset,,$]]$

a$.$ How much will you invest in Stock C$?$

Note: Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to $2$ decimal places, e$.$g$.,1,234,567\mathrm{.}89.$

b$.$ How much will you invest in the risk$-$free asset?

Note: Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to $2$ decimal places, e$.$g$.,1,234,567\mathrm{.}89.$

a$.$ Investment in Stock C

b$.$ Investment in risk$-$free asset