Construct this version of the Markowitz model for a maximum variance of $32.$

Let:FS $=$ proportion of portfolio invested in the foreign stock mutual fundIB $=$ proportion of portfolio invested in the intermediate$-$term bond fundLG $=$ proportion of portfolio invested in the large$-$cap growth fundLV $=$ proportion of portfolio invested in the large$-$cap value fundSG $=$ proportion of portfolio invested in the small$-$cap growth fundSV $=$ proportion of portfolio invested in the small$-$cap value fund $=$ the expected return of the portfolioRs $=$ the return of the portfolio in years

If required, round your answers to two decimal places. For subtractive or negative numbers use a minus sign even if there is a $+$ sign before the blank $($Example: $-300).$ If the constant is $"1"$ it must be entered in the box. If your answer is zero enter $0.$