The Board of Directors of a company must decide on the most appropriate plan to invest $$30$ million in a

period of $3$ years. Preliminary studies indicate that there are three investment opportunities available in the

moment. Investment A returns $28\%$ annually, investment B returns $20\%$ the first year and $32\%$ the following years,

Investment C returns $88\%$ at the end of the third year and cannot be reinvested. At the beginning of the second year

There is another investment opportunity, D$,$ which produces $35\%$ at the end of the third year and for one time only. He

The problem is knowing how much money to invest, where and when, in such a way that the amount of money

available at the beginning of the $4$th year is maximum.