Minimum average cost. Financial analysts in a company that manufactures DVD players arrive...

Minimum average cost. Financial analysts in a company that manufactures DVD players arrived at the following daily cost equation for manufacturing x DVD players per day:

C(x) = x2 + 2x + 2,000

The average cost per unit at a production level of x players per day is

(A) Find the rational function .

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(B) Sketch a graph of

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(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)? [Hint: Refer to the sketch in part (B) and evaluate at appropriate integer values until a minimum value is found.]

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(D) Graph the average cost functionc 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?