$o$ Saka $Co.,$ a vibrant start$-up$ construction company $in$ Zambezia, has now diversified its business using the $on-$balance sheet funding modality. Its major equity partner, $Jo$ Mbuzi, has invested $ZZ100,000$ which can $be$ invested across five portfolio within its business mandate. Table $1$ below provides a table $of$ all active portfolio $tobe$ invested $in.$

Table $1$: $Jo$ Saka $Co.on-$balance sheet portfolio

Project

Project Code

Urban Drainage System for Flood Control

$DS$

Green Energy Power Plant for Power production

$GE$

Water Treatment Plant

$WT$

Automated Tolling system for Road network

$RT$

Railway Signaling System for Road Network $(RW)$

$RW$

$Jo$ Saka $Co.limits$ total investment $in$ any single project $to$ a maximum $ofZZ75,000$ and has decided not $to$ borrow additional funds. For any funds uninvested, $Jo$ Saka $Co.$ can earn eight percent per annum for investing $in$ Zambezia government bonds that are open for investment. Returns from investments can $be$ immediately reinvested. For instance, the positive cash flow received from project $WTat$ time $2$ can immediately $be$ reinvested $in$ project $GE.$ Table $2$ provides $an$ outlay $of$ net cashflows associated with $an$ investment $ofZZ1in$ each project.

Table $2$: Outlay $of$ net cashflows $by$ Investment

Project Code Cashflow $inZZ$

Time $1$ Time $2$ Time $3$ Time $4$

$DS$

$-1$

$+0\mathrm{.}5+10$

$GE0-1+0\mathrm{.}5+1$

$WT-1+1\mathrm{.}200$

$RT-100+1\mathrm{.}9$

$RW00-1+1\mathrm{.}5$

Time $1=$ Present, Time $2=Yr.1,$ Time $3=Yr.2,$ and Time $4=Yr.3(Yr.=$ Year$)$

For instance, $ZZ1$ invested $in$ investment $GE$ requires $aZZ1$ cash outflow $inYr.1$ and returns $ZZ0\mathrm{.}50Yr.2$ and $ZZ1inYr.3.$