Financial analysts in a company that manufactures DVD players arrived at the following daily cost equation for manufacturing x DVD players per day:
C(.v) = x2 + 2x + 2,000
The average cost per unit at a production level of x players per day is (x)=C(x)/x.
(A) Find the rational function .
(B) Sketch a graph of  for 5≤ x ≤ 150.
(C) For what daily production level (to the nearest integer) is the average cost per unit at a minimum, and what is the minimum average cost per player (to the nearest cent)? [ Refer to the sketch in part (B) and evaluate (x)at appropriate integer values until a minimum value is found.1
(D) Graph the average cost function  on a graphing calculator and use an appropriate command to find the daily production level (to the nearest integer) at which the average cost per player is at a minimum. What is the minimum average cost to the nearest cent?