Suppose the average costs of a mining operation depend on the number of machines used, and average costs, in dollars, are given by

Where x is the number of machines used.
(a) Find the critical values of C(x) that lie in the domain of the problem.
(b) Over what interval in the domain do average costs decrease?
(c) Over what interval in the domain do average costs increase?
(d) How many machines give minimum average costs?
(e) What is the minimum average cost?

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1,278,900 C(x) = 2900x + х