note:dynamic programming please help and read the questuon carefully , and know what it ask for thank you

4. A mutual fund has $50M to invest in either of the two portfolios (A or B) at the beginning of the next 3 years. Both investments have uncertain returns. Table below shows the amount of return and the probability of these events for both portfolios. Portfolio Amount returned ($) Probability A 0 0.3 100M 0.7 B 50M 0.9 100M 0.1 The fund has only one opportunity to invest (at most) in one portfolio each year, and it can invest only $50M each time. Additional money accumulated during the planning period is set aside. Formulate and solve this problem as dynamic programming to maximize the expected amount of money at the end of the 3rd year