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The cost function for production of a commodity is C ( x ) = 369 + 24 x 0.06 x 2 + 0.0006 x 3

The cost function for production of a commodity is

C(x) = 369 + 24x 0.06x2 + 0.0006x3.

(a) Find C'(100).

(b) Find the actual cost of producing the 101st item. (Round your answer to the nearest cent.)

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