Exercise 2.6 (Investing wisely) Almost certainly, Albert Einstein did not say that "compound interest is the most powerful force in the universe.\" A coumany wants to maximize their cash holdings at the end of T time periods. 'IhEy have an external inow Dfpg dollars at the start oftime period t , for t =1,'2,...,T.At the start of each time period, available cash can be allocated to any of If different investment vehicles [in arty avaable nonnegative amounts). MonEy allocated to irrvestinentvelucle it at the start of period i must be held in that investment A: for all remaining time periods, and it generates income of, , of, +1 , ..., \"ET , per dollar invested. It should be assumed that money obtained from cashing out the investment is incorporated into these parameters. For example, [1:49. ,1 , v3.5 , \"is , 1:317 , v35 , v33 , \"3.10 , 11,191\" , v21\")={D.1,.1,[i.1,1.1,D,t],[i,[l,tl]canbe interpreted as 1 dollar invested in investment vehicle #9 at the start of time period 4 yields {11 dollars of income for times periods 41 and with the original dollar returned in time period 2?", and no returns at all in the remaining time periods 812. Note that at the start of time period t , the cash avaable is the external inow of pt , plus cash accumulated from all investment vehicles in prior periods that was not reinvested. Finally, assume that cash held over in arty time period earns interest of q percent. Formulate the problem, mathematically, as a linearoptimization problem. Then, model the problem with Pythom'durobi, make up some data, try some computations, and report on your results