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Application Of Derivatives

Question
CBSEENMA12034971
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The total cost C(x) in Rupees associated with the production of x units of an item is given by C(x) = 0.007 x – 0.003 x2 + 15 x + 4000.
Find the marginal cost when 17 units are produced.

Solution

Here straight C left parenthesis straight x right parenthesis space equals space 0.07 space straight x cubed minus space 0.003 space straight x squared space plus space 15 straight x plus space 4000
therefore space space space space space straight C space equals space 0.007 space straight x cubed minus space 0.003 space straight x squared plus space 15 straight x space plus space 4000
Marginal cost     equals space dC over dx space equals space 3 left parenthesis 0.007 right parenthesis space straight x squared minus space 2. space left parenthesis 0.003 right parenthesis space straight x space plus space 15 
                         equals space 0.021 space straight x squared minus space 0.006 space straight x space plus space space 15
When x = 17,   marginal cost  = (0.021) (17)2 - (0.006) (17) + 15
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