QUESTION THREE

A$)$ There are four possible capital projects, each running for $3$ years. The projects have the following characteristics.

Capital requirements $($$m$)$

$\backslash$table$[[$Project$,$Return $($$m$),$Year,$1,2,3],[1,0\mathrm{.}2,,0\mathrm{.}5,0\mathrm{.}3,0\mathrm{.}2],[2,0\mathrm{.}3,,1\mathrm{.}0,0\mathrm{.}8,0\mathrm{.}2],[3,0\mathrm{.}5,,1\mathrm{.}5,1\mathrm{.}5,0\mathrm{.}3],[4,0\mathrm{.}1,,0\mathrm{.}1,0\mathrm{.}4,0\mathrm{.}1],[$Available capital $($$m$),,3\mathrm{.}1,2\mathrm{.}5,0\mathrm{.}4]]$

Use integer programming to make a decision in this capital budgeting problem here, to resolve which projects should be selected in order to maximise the total return?

$[25]$