问题如下：1.
Is there a unique optimal path of the followingproblem?
2.
If your answer to Q1 is no, state your reasoningand change the problem into one with a unique optimal path. Hint: you canchange the objective function, or add discounting rate, etc. If your answer to Q1 is yes, move to Q3.
3.Find the optimal path and map it on a graph. Youcan use any program you are familiar with. It does not have to be a mathprogram.





求Sum(i=1, ...., 20)X(t)*Y(t)的最大值，其中：
Y(t+1)=Y(t)-X(t)+G(t)
G(t)=0.1Y(t)*[1-Y(t)/250]
Y0=100
Y(t)>=0
Y(t)>=X(t)>=0


用什么软件会最好呢，怎么做呢，求解啊～