Answer the Problem $P ( x ) = 2 x + \frac { 200 } { x } , 0 < x < \infty$

Essay

Answer the problem.
-The function $P ( x ) = 2 x + \frac { 200 } { x } , 0 < x < \infty$ models the perimeter of a rectangle of dimensions $x$ by $\frac { 100 } { x }$ .
(a) Find the extreme values for P.
(b) Give an interpretation in terms of perimeter of the rectangle for any values found in part (a).