LP Formulation Examples: A Capital Budgeting Problem

Star Oil Company is considering $5$ investment opportunities below.

Can invest $$40$M now $($time $0)$ and $$20$M next year $($time $1).$

Can invest partially in each project and get proportional returns.

Cannot invest in any project more than the amount indicated.

$\backslash$table$[[,$Investment $($$M$)],[,1,2,3,4,5],[$Time $0$ Cash Outflow,$11,53,5,5,29],[$Time $1$ Cash Outflow,$3,6,5,1,34],[$NPV$,13,16,16,14,39]]$

How should the company invest to maximize NPV$?$