Forming a pen: You want to form a rectangular pen of area 80 square feet. (See Figure XXXXXXXXXXOne side of the pen is to be formed by an existing building and the other three sides by a fence. If w...

Forming a pen: You want to form a rectangular pen of area 80 square feet. (See Figure 5.126.) One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the length, in feet, of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is 80/w,so the total amount F = F (w), in feet, of fence required is the rational function

a. Make a graph of F versus w.

 b. Explain in practical terms the behavior of the graph near the pole at w = 0.

c. Determine the dimensions of the rectangle that requires a minimum amount of fence.