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The cost of producing x units of a product is modeled by the following. C =...

The cost of producing x units of a product is modeled by the following.

C = 130 + 35x − 150 ln(x),    x ≥ 1

(a)

Find the average cost function C.

C =

(b)

Find the minimum average cost analytically. Use a graphing utility to confirm your result. (Round your answer to two decimal places.)

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