$2.$

Formulate algebraically a Linear Programming model for this problem $(12$ points$).$

b$.$ Use the algebraic formulation in part $($a$)$ to check$/$proof the possibility of purchasing

$100$ units of asset $1,100$ units of asset $2,$ and $200$ units of asset $3.$ How much cash flow

would this mix of investments generate $5,10,$ and $20$ years from now? What would be

the total amount invested? $(4$ points$)$