Hello Forumites,
A farmer wishes to fence a field bordering a straight stream with 1000 yd. of fencing material. It is not necessary to fence the side bordering the stream. Now, i want to find what is the maximum area of a rectangular field that can be fenced in this way?
Solution. I don't have any idea to solve this problem. I know the area of rectangle=length*width. Now, for maxima, first derivative=0 and second derivative <0. Answer provided to me is 125000 sq.yd. If any forumite know the answer, he may reply with it.