6.231 Dynamic Programming and Stochastic Control, Fall 2008

G = 60 · f1 + 40 ·min[1, f2 + f3], where fi ∈ [0, 1], i = 1, 2, 3, is the fraction of problem i that you solved correctly. Notice that if you solve correctly both problems 2 and 3, but you do not solve problem 1, your grade will only be G = 40. Thus, try to solve problem 1 first, then choose between problems 2 and 3 (whichever you prefer), and if you still have time, try to do the remaining problem. Credit is given only for clear logic and careful reasoning. GOOD LUCK!