Jamie has wealth of $$10,000$ to invest. The market portfolio consists of three stocks with $20\%$ being Stock A$,40\%$ being Stock B and the remainder Stock C$.$ The expected return on this market portfolio is $14\%.$ The risk free rate is $5\%.$ The CAPM holds. Suppose Jamie$$s optimal portfolio has an expected return of $23\%,$ what are the dollar values of her investments in A$,$ B$,$ C and the risk free asset?