Lobster hatcheries are built, by local fishing cooperatives, in the shape of right-rectangular prisms, fixed to the ground and with flexible nets of the same height, capable of withstanding marine corrosion. For each hatchery to be built, the cooperative uses entirely 100 linear meters of this net, which is used only on the sides. What should be the values of $X$ and $Y$, in meters, so that the area of the base of the hatchery is maximum? (A) 1 and 49 (B) 1 and 99 (C) 10 and 10 (D) 25 and 25 (E) 50 and 50
Lobster hatcheries are built, by local fishing cooperatives, in the shape of right-rectangular prisms, fixed to the ground and with flexible nets of the same height, capable of withstanding marine corrosion. For each hatchery to be built, the cooperative uses entirely 100 linear meters of this net, which is used only on the sides.
What should be the values of $X$ and $Y$, in meters, so that the area of the base of the hatchery is maximum?\\
(A) 1 and 49\\
(B) 1 and 99\\
(C) 10 and 10\\
(D) 25 and 25\\
(E) 50 and 50