Solve using Python

At the beginning of month 1, Finco has $400 in cash. At the beginning of months 1, 2, 3, and 4, Finco receives certain revenues, after which it pays bills (see Table 2 below). Any money left over may be invested for one month at the interest rate of 0.1% per month; for two months at 0.5% per month; for three months at 1% per month; or for four months at 2% per month. Use linear programming to determine an investment strategy that maximizes cash on hand at the beginning of month 5. Formulate an LP to maximize Fincos profit.

\begin{tabular}{|l|l|l|} \hline Month & Revenues (\$) & Bills (\$) \\ \hline 1 & 400 & 600 \\ \hline 2 & 800 & 500 \\ \hline 3 & 300 & 500 \\ \hline 4 & 300 & 250 \\ \hline \end{tabular}