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A cereal company has a cost function of C(x)=−1/4x2+12x+100 for producing x boxes of cereal. What is the marginal cost of producing 6 boxes of cereal? Give your answer as an integer, and do not include units in your answer.

Question

A cereal company has a cost function of C(x)=1/4x2+12x+100 for producing x boxes of cereal. What is the marginal cost of producing 6 boxes of cereal? Give your answer as an integer, and do not include units in your answer.

 
check_circleAnswer
Step 1

The formula to find the marginal cost (M.C) is,

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Step 2

Differentiate the given cost function and obtain marginal cost for x boxes

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Step 3

Substitute 6 for x and obtain the margina...

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Tagged in

Math

Calculus

Derivative

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