(solution) A men's suit manufacturer finds that the cost, in dollars, of

(solution) A men's suit manufacturer finds that the cost, in dollars, of

A men’s suit manufacturer finds that the cost, in dollars, of producing x suits is given by C(x)=853 + 14?x (or C(x)=853 +14x^1/2).

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(a) Find the average cost function when x suits are produced (do not simplify)

(b)Find the formula for the rate of change in average cost when x suits are produced. Simplify your answer.

(c) Find the rate at which the average cost is changing when 600 suits have been produced.