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Suppose the Total Cost of Producing X Units of a Certain

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Suppose the total cost of producing x units of a certain commodity is C(x)=2x410x318x2+200x+167C ( x ) = 2 x ^ { 4 } - 10 x ^ { 3 } - 18 x ^ { 2 } + 200 x + 167 . Determine the largest and smallest values of the marginal cost for 0 \le x \le 5.

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