A company is considering investing in three projects. If we fully invest in a project, the

NPV $($in millions of dollirs$)$ are as shown in the following table $($For example, project $1$

requires cash outflow of $$2$ million today and returns $$5$ million at the end of $4^{th}$ year$).$ At

time $0,$ we have $$4$ million in cash. At each time point and $4$ years from today$)$

leftover cash eams $1\%$ amual interest. For example, if after investing at time $0$ we have $$1$

million we would recoive $$10,000$ in interest at time $1.$ The company's goal is to maximize

cash on hand at the end of $4^t$ year. What investment strategy should be used? Remember

that we may invest in a fraction of a project. For example, if we invest in $0\mathrm{.}5$ of project $3,$

then we harte ench ontflows of $$1$ million at time $0$ and $1.$