Foreign Stock$10\mathrm{.}0613\mathrm{.}1213\mathrm{.}4745\mathrm{.}42-21\mathrm{.}93$Intermediate$-$Term Bond$17\mathrm{.}643\mathrm{.}257\mathrm{.}51-1\mathrm{.}337\mathrm{.}36$Large$-$Cap Growth$32\mathrm{.}4118\mathrm{.}7133\mathrm{.}2841\mathrm{.}46-23\mathrm{.}26$Large$-$Cap Value$32\mathrm{.}3620\mathrm{.}6112\mathrm{.}937\mathrm{.}06-5\mathrm{.}37$Small$-$Cap Growth$33\mathrm{.}4419\mathrm{.}403\mathrm{.}8558\mathrm{.}68-9\mathrm{.}02$Small$-$Cap Value$24\mathrm{.}5625\mathrm{.}32-6\mathrm{.}705\mathrm{.}4317\mathrm{.}31($a$)$Construct this version of the Markowitz model for a maximum variance of $34.$ 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 $0.$ Max s$.$t$.$ FS$+$ IB$+$ LG$+$ LV$+$ SG$+$ SV$-$ Select your answer Item $7$ R $1$ FS$+$ IB$+$ LG$+$ LV$+$ SG$+$ SV$-$ Select your answer Item $14$ R $2$ FS$+$ IB$+$ LG$+$ LV$+$ SG$+$ SV$-$ Select your answer Item $21$ R $3$ FS$+$ IB$+$ LG$+$ LV$+$ SG$+$ SV$-$ Select your answer Item $28$ R $4$ FS$+$ IB$+$ LG$+$ LV$+$ SG$+$ SV$-$ Select your answer Item $35$ R $5$ FS$+$ IB$+$ LG$+$ LV$+$ SG$+$ SV$-$ Select your answer Item $42-$ Select your answer Item $45-$ Select your answer Item $47$ FS$,$ IB$,$ LG$,$ LV$,$ SG$,$ SV$-$ Select your answer Item $49($b$)$Solve the model developed in part $($a$).$If required, round your answers to two decimal places. If your answer is zero, enter $0.$ FS $\%$IB $\%$LG $\%$LV $\%$SG $\%$SV $\%$ Portfolio Expected Return $=\%$

a$)$ Construcs this version of the Markowitz model for a rusimum variance of $34.$

Let:

FS $=$ proportion of porffolio invested in the foreign stock mutual fund

IE $=$ proportion of portfolis invested in the intermedate$-$tem band fund

$\backslash ($ L Q$=\backslash )$ proportion of portiolio invested in the large$-$cap growth fund.

$\backslash ($ L V$=\backslash )$ proportion of portiolio inverted in the large$-$cap value fund

$\backslash ($ S G$=\backslash )$ proportion of portfolio imested in the mallscap growth fund

$\backslash ($ S V$=\backslash )$ proportion of portfolio invested in the small$-$cap value fund

B $\backslash (=\backslash )$ the expected return of the portfolio

$\backslash ($ R$\_\{$p$\}=\backslash )$ the retuith of the portfolio in years $($a$)$ Construct this version of the Markowitz model for a maximum variance of $34.$

Let:

FS $=$ proportion of portfolio invested in the foreign stock mutual fund

$\backslash ($ I B$=\backslash )$ proportion of portfolio invested in the intermediate$-$term bond fund

LG $=$ proportion of portfolio invested in the large$-$cap growth fund

$\backslash ($ L V$=\backslash )$ proportion of portfolio invested in the large$-$cap value fund

$\backslash ($ S G$=\backslash )$ proportion of portfolio invested in the small$-$cap growth fund

$\backslash ($ S V$=\backslash )$ proportion of portfolio invested in the small$-$cap value fund

$\backslash (\backslash$bar$\{$R$\}=\backslash )$ the expected return of the portfolio

$\backslash ($ R$\_\{$S$\}=\backslash )$ the return of the portfolio in years $($b$)$ Solve the model developed in part $($a$).$

If required, round your answers to two decimal places. If your answer is zero, enter $"0".$

Portfolio Expected Return $=\backslash \%$