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Questions  >>  CBSE XII  >>  Math  >>  Relations and Functions
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Q)

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^3 - 0.003 x^2 + 15x + 4000$. Find the marginal cost when 10 units are produced.


$(A)\; Rs 1.704$
$(B)\; Rs 17.04$
$(C)\; Rs 170.4$
$(D)\; Rs 1704$

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A)
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Marginal cost $=\frac{dc}{dx} = 3 \times 0.007 x^2 - 2 \times 0.003 x+ 15 $
$\; \; \; \; = 0.021 x^2 - 0.006 x + 15$
Marginal cost when $x = 10$ is$ (0.021 \times 100 - 0.006 \times 10 + 15)$
$\; \; \; \; = Rs 17.04$
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