Please look at photo below

1. Every morning Neo packs his backpack and walks a distance L through a straight path in the forest from his home (A) to the unicorn sanctuary (B). One day he discovers someone has built an electric fence in the exact middle of his daily path (the dashed, red line in the picture): QB in. O The fence has length 2!) it extends for a distance b on each side of the path and is perpendicular to the path. After a few days, Neo notices that the electric fence is turned on only half the time, but he does not know if the fence is on or off on any given day until he walks up to it and throws his cat at the fence to test it. If the fence is off, he can just quickly climb over it. Otherwise, he has to walk around it. He devises a plan: he will walk straight from his home to some point P in the fence; then, he will walk around it or climb over it depending on whether the fence is on or off. Which point P should he choose in order to minimize the average length of his trip